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Finding the Third Proportional to 76,470 and 112,455

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Solution

The third proportional to 76,470 and 112,455 is: 165,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470 : 112,455 = 112,455 : x
  2. Step 2: Convert to fraction form
    76,470/112,455 = 112,455/x
  3. Step 3: Cross multiply
    76,470x = 112,455 × 112,455
  4. Step 4: Simplify right side
    76,470x = 12,646,127,025
  5. Step 5: Solve for x
    x = 12,646,127,025/76,470
  6. Step 6: Final answer
    x = 165,373.70

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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.