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Finding the Third Proportional to 489,135.38 and 643,210.88

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Solution

The third proportional to 489,135.38 and 643,210.88 is: 845,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,135.38 : 643,210.88 = 643,210.88 : x
  2. Step 2: Convert to fraction form
    489,135.38/643,210.88 = 643,210.88/x
  3. Step 3: Cross multiply
    489,135.38x = 643,210.88 × 643,210.88
  4. Step 4: Simplify right side
    489,135.38x = 413,720,229,718.27
  5. Step 5: Solve for x
    x = 413,720,229,718.27/489,135.38
  6. Step 6: Final answer
    x = 845,819.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.