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Finding the Third Proportional to 145,438,062 and 219,665,298

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Solution

The third proportional to 145,438,062 and 219,665,298 is: 331,775,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438,062 : 219,665,298 = 219,665,298 : x
  2. Step 2: Convert to fraction form
    145,438,062/219,665,298 = 219,665,298/x
  3. Step 3: Cross multiply
    145,438,062x = 219,665,298 × 219,665,298
  4. Step 4: Simplify right side
    145,438,062x = 48,252,843,145,428,800
  5. Step 5: Solve for x
    x = 48,252,843,145,428,800/145,438,062
  6. Step 6: Final answer
    x = 331,775,894.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.