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Finding the Third Proportional to 145,394 and 218,819

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Solution

The third proportional to 145,394 and 218,819 is: 329,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,394 : 218,819 = 218,819 : x
  2. Step 2: Convert to fraction form
    145,394/218,819 = 218,819/x
  3. Step 3: Cross multiply
    145,394x = 218,819 × 218,819
  4. Step 4: Simplify right side
    145,394x = 47,881,754,761
  5. Step 5: Solve for x
    x = 47,881,754,761/145,394
  6. Step 6: Final answer
    x = 329,324.15

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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.