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Finding the Third Proportional to 386,554 and 614,967

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Solution

The third proportional to 386,554 and 614,967 is: 978,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,554 : 614,967 = 614,967 : x
  2. Step 2: Convert to fraction form
    386,554/614,967 = 614,967/x
  3. Step 3: Cross multiply
    386,554x = 614,967 × 614,967
  4. Step 4: Simplify right side
    386,554x = 378,184,411,089
  5. Step 5: Solve for x
    x = 378,184,411,089/386,554
  6. Step 6: Final answer
    x = 978,348.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.