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Finding the Third Proportional to 285,853 and 564,477

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Solution

The third proportional to 285,853 and 564,477 is: 1,114,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,853 : 564,477 = 564,477 : x
  2. Step 2: Convert to fraction form
    285,853/564,477 = 564,477/x
  3. Step 3: Cross multiply
    285,853x = 564,477 × 564,477
  4. Step 4: Simplify right side
    285,853x = 318,634,283,529
  5. Step 5: Solve for x
    x = 318,634,283,529/285,853
  6. Step 6: Final answer
    x = 1,114,678.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.