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Finding the Third Proportional to 262,776 and 578,034

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Solution

The third proportional to 262,776 and 578,034 is: 1,271,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,776 : 578,034 = 578,034 : x
  2. Step 2: Convert to fraction form
    262,776/578,034 = 578,034/x
  3. Step 3: Cross multiply
    262,776x = 578,034 × 578,034
  4. Step 4: Simplify right side
    262,776x = 334,123,305,156
  5. Step 5: Solve for x
    x = 334,123,305,156/262,776
  6. Step 6: Final answer
    x = 1,271,513.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.