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Finding the Third Proportional to 424,780.50 and 643,341.75

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Solution

The third proportional to 424,780.50 and 643,341.75 is: 974,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,780.50 : 643,341.75 = 643,341.75 : x
  2. Step 2: Convert to fraction form
    424,780.50/643,341.75 = 643,341.75/x
  3. Step 3: Cross multiply
    424,780.50x = 643,341.75 × 643,341.75
  4. Step 4: Simplify right side
    424,780.50x = 413,888,607,293.06
  5. Step 5: Solve for x
    x = 413,888,607,293.06/424,780.50
  6. Step 6: Final answer
    x = 974,358.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.