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Finding the Third Proportional to 138,582 and 323,316

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Solution

The third proportional to 138,582 and 323,316 is: 754,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,582 : 323,316 = 323,316 : x
  2. Step 2: Convert to fraction form
    138,582/323,316 = 323,316/x
  3. Step 3: Cross multiply
    138,582x = 323,316 × 323,316
  4. Step 4: Simplify right side
    138,582x = 104,533,235,856
  5. Step 5: Solve for x
    x = 104,533,235,856/138,582
  6. Step 6: Final answer
    x = 754,306.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.