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Finding the Third Proportional to 342,639 and 737,778

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Solution

The third proportional to 342,639 and 737,778 is: 1,588,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,639 : 737,778 = 737,778 : x
  2. Step 2: Convert to fraction form
    342,639/737,778 = 737,778/x
  3. Step 3: Cross multiply
    342,639x = 737,778 × 737,778
  4. Step 4: Simplify right side
    342,639x = 544,316,377,284
  5. Step 5: Solve for x
    x = 544,316,377,284/342,639
  6. Step 6: Final answer
    x = 1,588,600.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.