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Finding the Third Proportional to 178,707 and 277,862

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Solution

The third proportional to 178,707 and 277,862 is: 432,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,707 : 277,862 = 277,862 : x
  2. Step 2: Convert to fraction form
    178,707/277,862 = 277,862/x
  3. Step 3: Cross multiply
    178,707x = 277,862 × 277,862
  4. Step 4: Simplify right side
    178,707x = 77,207,291,044
  5. Step 5: Solve for x
    x = 77,207,291,044/178,707
  6. Step 6: Final answer
    x = 432,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.