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Finding the Third Proportional to 147,431 and 315,895

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Solution

The third proportional to 147,431 and 315,895 is: 676,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431 : 315,895 = 315,895 : x
  2. Step 2: Convert to fraction form
    147,431/315,895 = 315,895/x
  3. Step 3: Cross multiply
    147,431x = 315,895 × 315,895
  4. Step 4: Simplify right side
    147,431x = 99,789,651,025
  5. Step 5: Solve for x
    x = 99,789,651,025/147,431
  6. Step 6: Final answer
    x = 676,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.