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Finding the Third Proportional to 68,574 and 103,590

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Solution

The third proportional to 68,574 and 103,590 is: 156,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,574 : 103,590 = 103,590 : x
  2. Step 2: Convert to fraction form
    68,574/103,590 = 103,590/x
  3. Step 3: Cross multiply
    68,574x = 103,590 × 103,590
  4. Step 4: Simplify right side
    68,574x = 10,730,888,100
  5. Step 5: Solve for x
    x = 10,730,888,100/68,574
  6. Step 6: Final answer
    x = 156,486.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.