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Finding the Third Proportional to 262,854 and 411,800

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Solution

The third proportional to 262,854 and 411,800 is: 645,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854 : 411,800 = 411,800 : x
  2. Step 2: Convert to fraction form
    262,854/411,800 = 411,800/x
  3. Step 3: Cross multiply
    262,854x = 411,800 × 411,800
  4. Step 4: Simplify right side
    262,854x = 169,579,240,000
  5. Step 5: Solve for x
    x = 169,579,240,000/262,854
  6. Step 6: Final answer
    x = 645,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.