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Finding the Third Proportional to 130,228,620 and 283,100,964

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Solution

The third proportional to 130,228,620 and 283,100,964 is: 615,426,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228,620 : 283,100,964 = 283,100,964 : x
  2. Step 2: Convert to fraction form
    130,228,620/283,100,964 = 283,100,964/x
  3. Step 3: Cross multiply
    130,228,620x = 283,100,964 × 283,100,964
  4. Step 4: Simplify right side
    130,228,620x = 80,146,155,817,729,296
  5. Step 5: Solve for x
    x = 80,146,155,817,729,296/130,228,620
  6. Step 6: Final answer
    x = 615,426,592.23

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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.