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Finding the Third Proportional to 232,419 and 359,139

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Solution

The third proportional to 232,419 and 359,139 is: 554,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,419 : 359,139 = 359,139 : x
  2. Step 2: Convert to fraction form
    232,419/359,139 = 359,139/x
  3. Step 3: Cross multiply
    232,419x = 359,139 × 359,139
  4. Step 4: Simplify right side
    232,419x = 128,980,821,321
  5. Step 5: Solve for x
    x = 128,980,821,321/232,419
  6. Step 6: Final answer
    x = 554,949.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.