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Finding the Third Proportional to 858,429 and 1,328,593

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Solution

The third proportional to 858,429 and 1,328,593 is: 2,056,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,429 : 1,328,593 = 1,328,593 : x
  2. Step 2: Convert to fraction form
    858,429/1,328,593 = 1,328,593/x
  3. Step 3: Cross multiply
    858,429x = 1,328,593 × 1,328,593
  4. Step 4: Simplify right side
    858,429x = 1,765,159,359,649
  5. Step 5: Solve for x
    x = 1,765,159,359,649/858,429
  6. Step 6: Final answer
    x = 2,056,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.