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Finding the Third Proportional to 20,539,134 and 31,986,460.50

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Solution

The third proportional to 20,539,134 and 31,986,460.50 is: 49,813,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539,134 : 31,986,460.50 = 31,986,460.50 : x
  2. Step 2: Convert to fraction form
    20,539,134/31,986,460.50 = 31,986,460.50/x
  3. Step 3: Cross multiply
    20,539,134x = 31,986,460.50 × 31,986,460.50
  4. Step 4: Simplify right side
    20,539,134x = 1,023,133,655,318,060.25
  5. Step 5: Solve for x
    x = 1,023,133,655,318,060.25/20,539,134
  6. Step 6: Final answer
    x = 49,813,865.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.