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Finding the Third Proportional to 289,348 and 442,360

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Solution

The third proportional to 289,348 and 442,360 is: 676,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,348 : 442,360 = 442,360 : x
  2. Step 2: Convert to fraction form
    289,348/442,360 = 442,360/x
  3. Step 3: Cross multiply
    289,348x = 442,360 × 442,360
  4. Step 4: Simplify right side
    289,348x = 195,682,369,600
  5. Step 5: Solve for x
    x = 195,682,369,600/289,348
  6. Step 6: Final answer
    x = 676,287.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.