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Finding the Third Proportional to 138,746.25 and 299,090.25

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Solution

The third proportional to 138,746.25 and 299,090.25 is: 644,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,746.25 : 299,090.25 = 299,090.25 : x
  2. Step 2: Convert to fraction form
    138,746.25/299,090.25 = 299,090.25/x
  3. Step 3: Cross multiply
    138,746.25x = 299,090.25 × 299,090.25
  4. Step 4: Simplify right side
    138,746.25x = 89,454,977,645.06
  5. Step 5: Solve for x
    x = 89,454,977,645.06/138,746.25
  6. Step 6: Final answer
    x = 644,737.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.