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Finding the Third Proportional to 267,484 and 557,385

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Solution

The third proportional to 267,484 and 557,385 is: 1,161,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,484 : 557,385 = 557,385 : x
  2. Step 2: Convert to fraction form
    267,484/557,385 = 557,385/x
  3. Step 3: Cross multiply
    267,484x = 557,385 × 557,385
  4. Step 4: Simplify right side
    267,484x = 310,678,038,225
  5. Step 5: Solve for x
    x = 310,678,038,225/267,484
  6. Step 6: Final answer
    x = 1,161,482.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.