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Finding the Third Proportional to 126,203,681.25 and 193,864,306.50

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Solution

The third proportional to 126,203,681.25 and 193,864,306.50 is: 297,799,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,203,681.25 : 193,864,306.50 = 193,864,306.50 : x
  2. Step 2: Convert to fraction form
    126,203,681.25/193,864,306.50 = 193,864,306.50/x
  3. Step 3: Cross multiply
    126,203,681.25x = 193,864,306.50 × 193,864,306.50
  4. Step 4: Simplify right side
    126,203,681.25x = 37,583,369,334,725,944
  5. Step 5: Solve for x
    x = 37,583,369,334,725,944/126,203,681.25
  6. Step 6: Final answer
    x = 297,799,311.10

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