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Finding the Third Proportional to 287,260 and 402,535

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Solution

The third proportional to 287,260 and 402,535 is: 564,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,260 : 402,535 = 402,535 : x
  2. Step 2: Convert to fraction form
    287,260/402,535 = 402,535/x
  3. Step 3: Cross multiply
    287,260x = 402,535 × 402,535
  4. Step 4: Simplify right side
    287,260x = 162,034,426,225
  5. Step 5: Solve for x
    x = 162,034,426,225/287,260
  6. Step 6: Final answer
    x = 564,068.88

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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.