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Finding the Third Proportional to 84,074,409 and 126,712,969.50

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Solution

The third proportional to 84,074,409 and 126,712,969.50 is: 190,975,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074,409 : 126,712,969.50 = 126,712,969.50 : x
  2. Step 2: Convert to fraction form
    84,074,409/126,712,969.50 = 126,712,969.50/x
  3. Step 3: Cross multiply
    84,074,409x = 126,712,969.50 × 126,712,969.50
  4. Step 4: Simplify right side
    84,074,409x = 16,056,176,639,507,930
  5. Step 5: Solve for x
    x = 16,056,176,639,507,930/84,074,409
  6. Step 6: Final answer
    x = 190,975,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.