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Finding the Third Proportional to 135,006 and 312,549

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Solution

The third proportional to 135,006 and 312,549 is: 723,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,006 : 312,549 = 312,549 : x
  2. Step 2: Convert to fraction form
    135,006/312,549 = 312,549/x
  3. Step 3: Cross multiply
    135,006x = 312,549 × 312,549
  4. Step 4: Simplify right side
    135,006x = 97,686,877,401
  5. Step 5: Solve for x
    x = 97,686,877,401/135,006
  6. Step 6: Final answer
    x = 723,574.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.