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Finding the Third Proportional to 81,210.38 and 124,985.25

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Solution

The third proportional to 81,210.38 and 124,985.25 is: 192,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,210.38 : 124,985.25 = 124,985.25 : x
  2. Step 2: Convert to fraction form
    81,210.38/124,985.25 = 124,985.25/x
  3. Step 3: Cross multiply
    81,210.38x = 124,985.25 × 124,985.25
  4. Step 4: Simplify right side
    81,210.38x = 15,621,312,717.56
  5. Step 5: Solve for x
    x = 15,621,312,717.56/81,210.38
  6. Step 6: Final answer
    x = 192,356.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.