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Finding the Third Proportional to 358,470 and 487,134

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Solution

The third proportional to 358,470 and 487,134 is: 661,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,470 : 487,134 = 487,134 : x
  2. Step 2: Convert to fraction form
    358,470/487,134 = 487,134/x
  3. Step 3: Cross multiply
    358,470x = 487,134 × 487,134
  4. Step 4: Simplify right side
    358,470x = 237,299,533,956
  5. Step 5: Solve for x
    x = 237,299,533,956/358,470
  6. Step 6: Final answer
    x = 661,978.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.