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Finding the Third Proportional to 320,644 and 616,712

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Solution

The third proportional to 320,644 and 616,712 is: 1,186,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,644 : 616,712 = 616,712 : x
  2. Step 2: Convert to fraction form
    320,644/616,712 = 616,712/x
  3. Step 3: Cross multiply
    320,644x = 616,712 × 616,712
  4. Step 4: Simplify right side
    320,644x = 380,333,690,944
  5. Step 5: Solve for x
    x = 380,333,690,944/320,644
  6. Step 6: Final answer
    x = 1,186,155.65

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.