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Finding the Third Proportional to 343,522 and 545,139

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Solution

The third proportional to 343,522 and 545,139 is: 865,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,522 : 545,139 = 545,139 : x
  2. Step 2: Convert to fraction form
    343,522/545,139 = 545,139/x
  3. Step 3: Cross multiply
    343,522x = 545,139 × 545,139
  4. Step 4: Simplify right side
    343,522x = 297,176,529,321
  5. Step 5: Solve for x
    x = 297,176,529,321/343,522
  6. Step 6: Final answer
    x = 865,087.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.