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Finding the Third Proportional to 142,958 and 305,549

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Solution

The third proportional to 142,958 and 305,549 is: 653,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,958 : 305,549 = 305,549 : x
  2. Step 2: Convert to fraction form
    142,958/305,549 = 305,549/x
  3. Step 3: Cross multiply
    142,958x = 305,549 × 305,549
  4. Step 4: Simplify right side
    142,958x = 93,360,191,401
  5. Step 5: Solve for x
    x = 93,360,191,401/142,958
  6. Step 6: Final answer
    x = 653,060.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.