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Finding the Third Proportional to 138,931 and 210,347.50

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Solution

The third proportional to 138,931 and 210,347.50 is: 318,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,931 : 210,347.50 = 210,347.50 : x
  2. Step 2: Convert to fraction form
    138,931/210,347.50 = 210,347.50/x
  3. Step 3: Cross multiply
    138,931x = 210,347.50 × 210,347.50
  4. Step 4: Simplify right side
    138,931x = 44,246,070,756.25
  5. Step 5: Solve for x
    x = 44,246,070,756.25/138,931
  6. Step 6: Final answer
    x = 318,475.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.