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Finding the Third Proportional to 342,479 and 545,429

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Solution

The third proportional to 342,479 and 545,429 is: 868,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,479 : 545,429 = 545,429 : x
  2. Step 2: Convert to fraction form
    342,479/545,429 = 545,429/x
  3. Step 3: Cross multiply
    342,479x = 545,429 × 545,429
  4. Step 4: Simplify right side
    342,479x = 297,492,794,041
  5. Step 5: Solve for x
    x = 297,492,794,041/342,479
  6. Step 6: Final answer
    x = 868,645.36

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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.