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Finding the Third Proportional to 402,429.75 and 564,041.25

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Solution

The third proportional to 402,429.75 and 564,041.25 is: 790,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,429.75 : 564,041.25 = 564,041.25 : x
  2. Step 2: Convert to fraction form
    402,429.75/564,041.25 = 564,041.25/x
  3. Step 3: Cross multiply
    402,429.75x = 564,041.25 × 564,041.25
  4. Step 4: Simplify right side
    402,429.75x = 318,142,531,701.56
  5. Step 5: Solve for x
    x = 318,142,531,701.56/402,429.75
  6. Step 6: Final answer
    x = 790,554.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.