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Finding the Third Proportional to 145,402 and 218,831

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Solution

The third proportional to 145,402 and 218,831 is: 329,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,402 : 218,831 = 218,831 : x
  2. Step 2: Convert to fraction form
    145,402/218,831 = 218,831/x
  3. Step 3: Cross multiply
    145,402x = 218,831 × 218,831
  4. Step 4: Simplify right side
    145,402x = 47,887,006,561
  5. Step 5: Solve for x
    x = 47,887,006,561/145,402
  6. Step 6: Final answer
    x = 329,342.14

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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.