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Finding the Third Proportional to 142,491 and 311,430

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Solution

The third proportional to 142,491 and 311,430 is: 680,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,491 : 311,430 = 311,430 : x
  2. Step 2: Convert to fraction form
    142,491/311,430 = 311,430/x
  3. Step 3: Cross multiply
    142,491x = 311,430 × 311,430
  4. Step 4: Simplify right side
    142,491x = 96,988,644,900
  5. Step 5: Solve for x
    x = 96,988,644,900/142,491
  6. Step 6: Final answer
    x = 680,665.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.