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Finding the Third Proportional to 149,875.31 and 321,985.13

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Solution

The third proportional to 149,875.31 and 321,985.13 is: 691,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,875.31 : 321,985.13 = 321,985.13 : x
  2. Step 2: Convert to fraction form
    149,875.31/321,985.13 = 321,985.13/x
  3. Step 3: Cross multiply
    149,875.31x = 321,985.13 × 321,985.13
  4. Step 4: Simplify right side
    149,875.31x = 103,674,420,721.27
  5. Step 5: Solve for x
    x = 103,674,420,721.27/149,875.31
  6. Step 6: Final answer
    x = 691,737.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.