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Finding the Third Proportional to 21,001,419 and 32,398,177.50

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Solution

The third proportional to 21,001,419 and 32,398,177.50 is: 49,979,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001,419 : 32,398,177.50 = 32,398,177.50 : x
  2. Step 2: Convert to fraction form
    21,001,419/32,398,177.50 = 32,398,177.50/x
  3. Step 3: Cross multiply
    21,001,419x = 32,398,177.50 × 32,398,177.50
  4. Step 4: Simplify right side
    21,001,419x = 1,049,641,905,321,506.25
  5. Step 5: Solve for x
    x = 1,049,641,905,321,506.25/21,001,419
  6. Step 6: Final answer
    x = 49,979,570.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.