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Finding the Third Proportional to 20,982,081 and 45,152,808.50

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Solution

The third proportional to 20,982,081 and 45,152,808.50 is: 97,167,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982,081 : 45,152,808.50 = 45,152,808.50 : x
  2. Step 2: Convert to fraction form
    20,982,081/45,152,808.50 = 45,152,808.50/x
  3. Step 3: Cross multiply
    20,982,081x = 45,152,808.50 × 45,152,808.50
  4. Step 4: Simplify right side
    20,982,081x = 2,038,776,115,437,672.25
  5. Step 5: Solve for x
    x = 2,038,776,115,437,672.25/20,982,081
  6. Step 6: Final answer
    x = 97,167,488.56

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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.