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Finding the Third Proportional to 387,700 and 523,686

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Solution

The third proportional to 387,700 and 523,686 is: 707,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,700 : 523,686 = 523,686 : x
  2. Step 2: Convert to fraction form
    387,700/523,686 = 523,686/x
  3. Step 3: Cross multiply
    387,700x = 523,686 × 523,686
  4. Step 4: Simplify right side
    387,700x = 274,247,026,596
  5. Step 5: Solve for x
    x = 274,247,026,596/387,700
  6. Step 6: Final answer
    x = 707,369.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.