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Finding the Third Proportional to 147,483 and 316,471

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Solution

The third proportional to 147,483 and 316,471 is: 679,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,483 : 316,471 = 316,471 : x
  2. Step 2: Convert to fraction form
    147,483/316,471 = 316,471/x
  3. Step 3: Cross multiply
    147,483x = 316,471 × 316,471
  4. Step 4: Simplify right side
    147,483x = 100,153,893,841
  5. Step 5: Solve for x
    x = 100,153,893,841/147,483
  6. Step 6: Final answer
    x = 679,087.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.