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Finding the Third Proportional to 138,905 and 207,442.50

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Solution

The third proportional to 138,905 and 207,442.50 is: 309,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,905 : 207,442.50 = 207,442.50 : x
  2. Step 2: Convert to fraction form
    138,905/207,442.50 = 207,442.50/x
  3. Step 3: Cross multiply
    138,905x = 207,442.50 × 207,442.50
  4. Step 4: Simplify right side
    138,905x = 43,032,390,806.25
  5. Step 5: Solve for x
    x = 43,032,390,806.25/138,905
  6. Step 6: Final answer
    x = 309,797.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.