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Finding the Third Proportional to 342,458 and 545,400

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Solution

The third proportional to 342,458 and 545,400 is: 868,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,458 : 545,400 = 545,400 : x
  2. Step 2: Convert to fraction form
    342,458/545,400 = 545,400/x
  3. Step 3: Cross multiply
    342,458x = 545,400 × 545,400
  4. Step 4: Simplify right side
    342,458x = 297,461,160,000
  5. Step 5: Solve for x
    x = 297,461,160,000/342,458
  6. Step 6: Final answer
    x = 868,606.25

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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.