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Finding the Third Proportional to 117,779 and 257,560

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Solution

The third proportional to 117,779 and 257,560 is: 563,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,779 : 257,560 = 257,560 : x
  2. Step 2: Convert to fraction form
    117,779/257,560 = 257,560/x
  3. Step 3: Cross multiply
    117,779x = 257,560 × 257,560
  4. Step 4: Simplify right side
    117,779x = 66,337,153,600
  5. Step 5: Solve for x
    x = 66,337,153,600/117,779
  6. Step 6: Final answer
    x = 563,234.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.