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Finding the Third Proportional to 130,228,610 and 283,100,930

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Solution

The third proportional to 130,228,610 and 283,100,930 is: 615,426,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228,610 : 283,100,930 = 283,100,930 : x
  2. Step 2: Convert to fraction form
    130,228,610/283,100,930 = 283,100,930/x
  3. Step 3: Cross multiply
    130,228,610x = 283,100,930 × 283,100,930
  4. Step 4: Simplify right side
    130,228,610x = 80,146,136,566,864,896
  5. Step 5: Solve for x
    x = 80,146,136,566,864,896/130,228,610
  6. Step 6: Final answer
    x = 615,426,491.67

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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.