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Finding the Third Proportional to 141,440 and 312,320

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Solution

The third proportional to 141,440 and 312,320 is: 689,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,440 : 312,320 = 312,320 : x
  2. Step 2: Convert to fraction form
    141,440/312,320 = 312,320/x
  3. Step 3: Cross multiply
    141,440x = 312,320 × 312,320
  4. Step 4: Simplify right side
    141,440x = 97,543,782,400
  5. Step 5: Solve for x
    x = 97,543,782,400/141,440
  6. Step 6: Final answer
    x = 689,647.78

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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.