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Finding the Third Proportional to 342,460.50 and 545,403

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Solution

The third proportional to 342,460.50 and 545,403 is: 868,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,460.50 : 545,403 = 545,403 : x
  2. Step 2: Convert to fraction form
    342,460.50/545,403 = 545,403/x
  3. Step 3: Cross multiply
    342,460.50x = 545,403 × 545,403
  4. Step 4: Simplify right side
    342,460.50x = 297,464,432,409
  5. Step 5: Solve for x
    x = 297,464,432,409/342,460.50
  6. Step 6: Final answer
    x = 868,609.47

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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.