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Finding the Third Proportional to 78,428 and 169,774

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Solution

The third proportional to 78,428 and 169,774 is: 367,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,428 : 169,774 = 169,774 : x
  2. Step 2: Convert to fraction form
    78,428/169,774 = 169,774/x
  3. Step 3: Cross multiply
    78,428x = 169,774 × 169,774
  4. Step 4: Simplify right side
    78,428x = 28,823,211,076
  5. Step 5: Solve for x
    x = 28,823,211,076/78,428
  6. Step 6: Final answer
    x = 367,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.