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Finding the Third Proportional to 257,852,160 and 399,849,696

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Solution

The third proportional to 257,852,160 and 399,849,696 is: 620,044,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852,160 : 399,849,696 = 399,849,696 : x
  2. Step 2: Convert to fraction form
    257,852,160/399,849,696 = 399,849,696/x
  3. Step 3: Cross multiply
    257,852,160x = 399,849,696 × 399,849,696
  4. Step 4: Simplify right side
    257,852,160x = 159,879,779,391,292,416
  5. Step 5: Solve for x
    x = 159,879,779,391,292,416/257,852,160
  6. Step 6: Final answer
    x = 620,044,367.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.