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Finding the Third Proportional to 77,313,320 and 108,146,220

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Solution

The third proportional to 77,313,320 and 108,146,220 is: 151,275,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,313,320 : 108,146,220 = 108,146,220 : x
  2. Step 2: Convert to fraction form
    77,313,320/108,146,220 = 108,146,220/x
  3. Step 3: Cross multiply
    77,313,320x = 108,146,220 × 108,146,220
  4. Step 4: Simplify right side
    77,313,320x = 11,695,604,900,288,400
  5. Step 5: Solve for x
    x = 11,695,604,900,288,400/77,313,320
  6. Step 6: Final answer
    x = 151,275,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.