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Finding the Third Proportional to 85,368 and 133,920

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Solution

The third proportional to 85,368 and 133,920 is: 210,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368 : 133,920 = 133,920 : x
  2. Step 2: Convert to fraction form
    85,368/133,920 = 133,920/x
  3. Step 3: Cross multiply
    85,368x = 133,920 × 133,920
  4. Step 4: Simplify right side
    85,368x = 17,934,566,400
  5. Step 5: Solve for x
    x = 17,934,566,400/85,368
  6. Step 6: Final answer
    x = 210,085.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.