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Finding the Third Proportional to 142,398 and 307,638

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Solution

The third proportional to 142,398 and 307,638 is: 664,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398 : 307,638 = 307,638 : x
  2. Step 2: Convert to fraction form
    142,398/307,638 = 307,638/x
  3. Step 3: Cross multiply
    142,398x = 307,638 × 307,638
  4. Step 4: Simplify right side
    142,398x = 94,641,139,044
  5. Step 5: Solve for x
    x = 94,641,139,044/142,398
  6. Step 6: Final answer
    x = 664,624.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.