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Finding the Third Proportional to 291,506 and 607,876

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Solution

The third proportional to 291,506 and 607,876 is: 1,267,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,506 : 607,876 = 607,876 : x
  2. Step 2: Convert to fraction form
    291,506/607,876 = 607,876/x
  3. Step 3: Cross multiply
    291,506x = 607,876 × 607,876
  4. Step 4: Simplify right side
    291,506x = 369,513,231,376
  5. Step 5: Solve for x
    x = 369,513,231,376/291,506
  6. Step 6: Final answer
    x = 1,267,600.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.