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Finding the Third Proportional to 86,516 and 147,712

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Solution

The third proportional to 86,516 and 147,712 is: 252,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,516 : 147,712 = 147,712 : x
  2. Step 2: Convert to fraction form
    86,516/147,712 = 147,712/x
  3. Step 3: Cross multiply
    86,516x = 147,712 × 147,712
  4. Step 4: Simplify right side
    86,516x = 21,818,834,944
  5. Step 5: Solve for x
    x = 21,818,834,944/86,516
  6. Step 6: Final answer
    x = 252,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.