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Finding the Third Proportional to 86,776 and 130,902

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Solution

The third proportional to 86,776 and 130,902 is: 197,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776 : 130,902 = 130,902 : x
  2. Step 2: Convert to fraction form
    86,776/130,902 = 130,902/x
  3. Step 3: Cross multiply
    86,776x = 130,902 × 130,902
  4. Step 4: Simplify right side
    86,776x = 17,135,333,604
  5. Step 5: Solve for x
    x = 17,135,333,604/86,776
  6. Step 6: Final answer
    x = 197,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.