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Finding the Third Proportional to 315,480 and 476,982

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Solution

The third proportional to 315,480 and 476,982 is: 721,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480 : 476,982 = 476,982 : x
  2. Step 2: Convert to fraction form
    315,480/476,982 = 476,982/x
  3. Step 3: Cross multiply
    315,480x = 476,982 × 476,982
  4. Step 4: Simplify right side
    315,480x = 227,511,828,324
  5. Step 5: Solve for x
    x = 227,511,828,324/315,480
  6. Step 6: Final answer
    x = 721,160.86

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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.