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Finding the Third Proportional to 418,087 and 617,289

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Solution

The third proportional to 418,087 and 617,289 is: 911,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,087 : 617,289 = 617,289 : x
  2. Step 2: Convert to fraction form
    418,087/617,289 = 617,289/x
  3. Step 3: Cross multiply
    418,087x = 617,289 × 617,289
  4. Step 4: Simplify right side
    418,087x = 381,045,709,521
  5. Step 5: Solve for x
    x = 381,045,709,521/418,087
  6. Step 6: Final answer
    x = 911,402.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.