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Finding the Third Proportional to 282,413 and 440,292

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Solution

The third proportional to 282,413 and 440,292 is: 686,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,413 : 440,292 = 440,292 : x
  2. Step 2: Convert to fraction form
    282,413/440,292 = 440,292/x
  3. Step 3: Cross multiply
    282,413x = 440,292 × 440,292
  4. Step 4: Simplify right side
    282,413x = 193,857,045,264
  5. Step 5: Solve for x
    x = 193,857,045,264/282,413
  6. Step 6: Final answer
    x = 686,431.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.