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Finding the Third Proportional to 140,486 and 310,516

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Solution

The third proportional to 140,486 and 310,516 is: 686,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,486 : 310,516 = 310,516 : x
  2. Step 2: Convert to fraction form
    140,486/310,516 = 310,516/x
  3. Step 3: Cross multiply
    140,486x = 310,516 × 310,516
  4. Step 4: Simplify right side
    140,486x = 96,420,186,256
  5. Step 5: Solve for x
    x = 96,420,186,256/140,486
  6. Step 6: Final answer
    x = 686,333.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.