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Finding the Third Proportional to 282,411 and 440,289

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Solution

The third proportional to 282,411 and 440,289 is: 686,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,411 : 440,289 = 440,289 : x
  2. Step 2: Convert to fraction form
    282,411/440,289 = 440,289/x
  3. Step 3: Cross multiply
    282,411x = 440,289 × 440,289
  4. Step 4: Simplify right side
    282,411x = 193,854,403,521
  5. Step 5: Solve for x
    x = 193,854,403,521/282,411
  6. Step 6: Final answer
    x = 686,426.53

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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.