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Finding the Third Proportional to 387,520 and 565,967

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Solution

The third proportional to 387,520 and 565,967 is: 826,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,520 : 565,967 = 565,967 : x
  2. Step 2: Convert to fraction form
    387,520/565,967 = 565,967/x
  3. Step 3: Cross multiply
    387,520x = 565,967 × 565,967
  4. Step 4: Simplify right side
    387,520x = 320,318,645,089
  5. Step 5: Solve for x
    x = 320,318,645,089/387,520
  6. Step 6: Final answer
    x = 826,586.10

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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.