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Finding the Third Proportional to 262,840 and 411,776

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Solution

The third proportional to 262,840 and 411,776 is: 645,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,840 : 411,776 = 411,776 : x
  2. Step 2: Convert to fraction form
    262,840/411,776 = 411,776/x
  3. Step 3: Cross multiply
    262,840x = 411,776 × 411,776
  4. Step 4: Simplify right side
    262,840x = 169,559,474,176
  5. Step 5: Solve for x
    x = 169,559,474,176/262,840
  6. Step 6: Final answer
    x = 645,105.29

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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.