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Finding the Third Proportional to 387,521 and 565,972

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Solution

The third proportional to 387,521 and 565,972 is: 826,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,521 : 565,972 = 565,972 : x
  2. Step 2: Convert to fraction form
    387,521/565,972 = 565,972/x
  3. Step 3: Cross multiply
    387,521x = 565,972 × 565,972
  4. Step 4: Simplify right side
    387,521x = 320,324,304,784
  5. Step 5: Solve for x
    x = 320,324,304,784/387,521
  6. Step 6: Final answer
    x = 826,598.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.