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Finding the Third Proportional to 317,480 and 479,460

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Solution

The third proportional to 317,480 and 479,460 is: 724,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,480 : 479,460 = 479,460 : x
  2. Step 2: Convert to fraction form
    317,480/479,460 = 479,460/x
  3. Step 3: Cross multiply
    317,480x = 479,460 × 479,460
  4. Step 4: Simplify right side
    317,480x = 229,881,891,600
  5. Step 5: Solve for x
    x = 229,881,891,600/317,480
  6. Step 6: Final answer
    x = 724,083.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.