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Finding the Third Proportional to 86,280 and 121,788

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Solution

The third proportional to 86,280 and 121,788 is: 171,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,280 : 121,788 = 121,788 : x
  2. Step 2: Convert to fraction form
    86,280/121,788 = 121,788/x
  3. Step 3: Cross multiply
    86,280x = 121,788 × 121,788
  4. Step 4: Simplify right side
    86,280x = 14,832,316,944
  5. Step 5: Solve for x
    x = 14,832,316,944/86,280
  6. Step 6: Final answer
    x = 171,909.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.