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Finding the Third Proportional to 128,954,036.25 and 283,241,432.25

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Solution

The third proportional to 128,954,036.25 and 283,241,432.25 is: 622,126,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954,036.25 : 283,241,432.25 = 283,241,432.25 : x
  2. Step 2: Convert to fraction form
    128,954,036.25/283,241,432.25 = 283,241,432.25/x
  3. Step 3: Cross multiply
    128,954,036.25x = 283,241,432.25 × 283,241,432.25
  4. Step 4: Simplify right side
    128,954,036.25x = 80,225,708,943,031,344
  5. Step 5: Solve for x
    x = 80,225,708,943,031,344/128,954,036.25
  6. Step 6: Final answer
    x = 622,126,389.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.