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Finding the Third Proportional to 240,117 and 347,778

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Solution

The third proportional to 240,117 and 347,778 is: 503,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,117 : 347,778 = 347,778 : x
  2. Step 2: Convert to fraction form
    240,117/347,778 = 347,778/x
  3. Step 3: Cross multiply
    240,117x = 347,778 × 347,778
  4. Step 4: Simplify right side
    240,117x = 120,949,537,284
  5. Step 5: Solve for x
    x = 120,949,537,284/240,117
  6. Step 6: Final answer
    x = 503,710.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.