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Finding the Third Proportional to 77,730 and 114,042.75

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Solution

The third proportional to 77,730 and 114,042.75 is: 167,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 114,042.75 = 114,042.75 : x
  2. Step 2: Convert to fraction form
    77,730/114,042.75 = 114,042.75/x
  3. Step 3: Cross multiply
    77,730x = 114,042.75 × 114,042.75
  4. Step 4: Simplify right side
    77,730x = 13,005,748,827.56
  5. Step 5: Solve for x
    x = 13,005,748,827.56/77,730
  6. Step 6: Final answer
    x = 167,319.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.