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Finding the Third Proportional to 153,132,132 and 229,810,194

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Solution

The third proportional to 153,132,132 and 229,810,194 is: 344,883,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,132 : 229,810,194 = 229,810,194 : x
  2. Step 2: Convert to fraction form
    153,132,132/229,810,194 = 229,810,194/x
  3. Step 3: Cross multiply
    153,132,132x = 229,810,194 × 229,810,194
  4. Step 4: Simplify right side
    153,132,132x = 52,812,725,266,317,632
  5. Step 5: Solve for x
    x = 52,812,725,266,317,632/153,132,132
  6. Step 6: Final answer
    x = 344,883,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.