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Finding the Third Proportional to 31,456,809 and 42,500,103.75

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Solution

The third proportional to 31,456,809 and 42,500,103.75 is: 57,420,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456,809 : 42,500,103.75 = 42,500,103.75 : x
  2. Step 2: Convert to fraction form
    31,456,809/42,500,103.75 = 42,500,103.75/x
  3. Step 3: Cross multiply
    31,456,809x = 42,500,103.75 × 42,500,103.75
  4. Step 4: Simplify right side
    31,456,809x = 1,806,258,818,760,764
  5. Step 5: Solve for x
    x = 1,806,258,818,760,764/31,456,809
  6. Step 6: Final answer
    x = 57,420,281.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.