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Finding the Third Proportional to 140,746 and 310,292

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Solution

The third proportional to 140,746 and 310,292 is: 684,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,746 : 310,292 = 310,292 : x
  2. Step 2: Convert to fraction form
    140,746/310,292 = 310,292/x
  3. Step 3: Cross multiply
    140,746x = 310,292 × 310,292
  4. Step 4: Simplify right side
    140,746x = 96,281,125,264
  5. Step 5: Solve for x
    x = 96,281,125,264/140,746
  6. Step 6: Final answer
    x = 684,077.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.