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Finding the Third Proportional to 402,281 and 554,145

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Solution

The third proportional to 402,281 and 554,145 is: 763,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,281 : 554,145 = 554,145 : x
  2. Step 2: Convert to fraction form
    402,281/554,145 = 554,145/x
  3. Step 3: Cross multiply
    402,281x = 554,145 × 554,145
  4. Step 4: Simplify right side
    402,281x = 307,076,681,025
  5. Step 5: Solve for x
    x = 307,076,681,025/402,281
  6. Step 6: Final answer
    x = 763,338.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.