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Finding the Third Proportional to 454,480 and 711,384

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Solution

The third proportional to 454,480 and 711,384 is: 1,113,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,480 : 711,384 = 711,384 : x
  2. Step 2: Convert to fraction form
    454,480/711,384 = 711,384/x
  3. Step 3: Cross multiply
    454,480x = 711,384 × 711,384
  4. Step 4: Simplify right side
    454,480x = 506,067,195,456
  5. Step 5: Solve for x
    x = 506,067,195,456/454,480
  6. Step 6: Final answer
    x = 1,113,508.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.