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Finding the Third Proportional to 342,477 and 545,425.50

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Solution

The third proportional to 342,477 and 545,425.50 is: 868,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,477 : 545,425.50 = 545,425.50 : x
  2. Step 2: Convert to fraction form
    342,477/545,425.50 = 545,425.50/x
  3. Step 3: Cross multiply
    342,477x = 545,425.50 × 545,425.50
  4. Step 4: Simplify right side
    342,477x = 297,488,976,050.25
  5. Step 5: Solve for x
    x = 297,488,976,050.25/342,477
  6. Step 6: Final answer
    x = 868,639.28

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