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Finding the Third Proportional to 31,991,061.75 and 68,909,888.25

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Solution

The third proportional to 31,991,061.75 and 68,909,888.25 is: 148,434,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991,061.75 : 68,909,888.25 = 68,909,888.25 : x
  2. Step 2: Convert to fraction form
    31,991,061.75/68,909,888.25 = 68,909,888.25/x
  3. Step 3: Cross multiply
    31,991,061.75x = 68,909,888.25 × 68,909,888.25
  4. Step 4: Simplify right side
    31,991,061.75x = 4,748,572,698,627,488
  5. Step 5: Solve for x
    x = 4,748,572,698,627,488/31,991,061.75
  6. Step 6: Final answer
    x = 148,434,357.56

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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.