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Finding the Third Proportional to 418,095 and 617,301

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Solution

The third proportional to 418,095 and 617,301 is: 911,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,095 : 617,301 = 617,301 : x
  2. Step 2: Convert to fraction form
    418,095/617,301 = 617,301/x
  3. Step 3: Cross multiply
    418,095x = 617,301 × 617,301
  4. Step 4: Simplify right side
    418,095x = 381,060,524,601
  5. Step 5: Solve for x
    x = 381,060,524,601/418,095
  6. Step 6: Final answer
    x = 911,420.91

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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.