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Finding the Third Proportional to 315,536 and 477,060

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Solution

The third proportional to 315,536 and 477,060 is: 721,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,536 : 477,060 = 477,060 : x
  2. Step 2: Convert to fraction form
    315,536/477,060 = 477,060/x
  3. Step 3: Cross multiply
    315,536x = 477,060 × 477,060
  4. Step 4: Simplify right side
    315,536x = 227,586,243,600
  5. Step 5: Solve for x
    x = 227,586,243,600/315,536
  6. Step 6: Final answer
    x = 721,268.71

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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.