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Finding the Third Proportional to 130,353,856.50 and 283,127,884.50

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Solution

The third proportional to 130,353,856.50 and 283,127,884.50 is: 614,952,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,353,856.50 : 283,127,884.50 = 283,127,884.50 : x
  2. Step 2: Convert to fraction form
    130,353,856.50/283,127,884.50 = 283,127,884.50/x
  3. Step 3: Cross multiply
    130,353,856.50x = 283,127,884.50 × 283,127,884.50
  4. Step 4: Simplify right side
    130,353,856.50x = 80,161,398,981,445,344
  5. Step 5: Solve for x
    x = 80,161,398,981,445,344/130,353,856.50
  6. Step 6: Final answer
    x = 614,952,262.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.