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Finding the Third Proportional to 77,730 and 167,712

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Solution

The third proportional to 77,730 and 167,712 is: 361,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 167,712 = 167,712 : x
  2. Step 2: Convert to fraction form
    77,730/167,712 = 167,712/x
  3. Step 3: Cross multiply
    77,730x = 167,712 × 167,712
  4. Step 4: Simplify right side
    77,730x = 28,127,314,944
  5. Step 5: Solve for x
    x = 28,127,314,944/77,730
  6. Step 6: Final answer
    x = 361,859.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.