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Finding the Third Proportional to 424,743.75 and 643,291.88

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Solution

The third proportional to 424,743.75 and 643,291.88 is: 974,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,743.75 : 643,291.88 = 643,291.88 : x
  2. Step 2: Convert to fraction form
    424,743.75/643,291.88 = 643,291.88/x
  3. Step 3: Cross multiply
    424,743.75x = 643,291.88 × 643,291.88
  4. Step 4: Simplify right side
    424,743.75x = 413,824,436,441.02
  5. Step 5: Solve for x
    x = 413,824,436,441.02/424,743.75
  6. Step 6: Final answer
    x = 974,292.00

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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.