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Finding the Third Proportional to 399,540,569,776 and 577,267,127,480

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Solution

The third proportional to 399,540,569,776 and 577,267,127,480 is: 834,051,312,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,540,569,776 : 577,267,127,480 = 577,267,127,480 : x
  2. Step 2: Convert to fraction form
    399,540,569,776/577,267,127,480 = 577,267,127,480/x
  3. Step 3: Cross multiply
    399,540,569,776x = 577,267,127,480 × 577,267,127,480
  4. Step 4: Simplify right side
    399,540,569,776x = 333,237,336,469,010,592,563,200
  5. Step 5: Solve for x
    x = 333,237,336,469,010,592,563,200/399,540,569,776
  6. Step 6: Final answer
    x = 834,051,312,125.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.