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Finding the Third Proportional to 106,429,080 and 229,470,612

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Solution

The third proportional to 106,429,080 and 229,470,612 is: 494,759,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429,080 : 229,470,612 = 229,470,612 : x
  2. Step 2: Convert to fraction form
    106,429,080/229,470,612 = 229,470,612/x
  3. Step 3: Cross multiply
    106,429,080x = 229,470,612 × 229,470,612
  4. Step 4: Simplify right side
    106,429,080x = 52,656,761,771,654,544
  5. Step 5: Solve for x
    x = 52,656,761,771,654,544/106,429,080
  6. Step 6: Final answer
    x = 494,759,155.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.