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Finding the Third Proportional to 427,897 and 576,321

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Solution

The third proportional to 427,897 and 576,321 is: 776,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,897 : 576,321 = 576,321 : x
  2. Step 2: Convert to fraction form
    427,897/576,321 = 576,321/x
  3. Step 3: Cross multiply
    427,897x = 576,321 × 576,321
  4. Step 4: Simplify right side
    427,897x = 332,145,895,041
  5. Step 5: Solve for x
    x = 332,145,895,041/427,897
  6. Step 6: Final answer
    x = 776,228.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.