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Finding the Third Proportional to 296,651 and 420,035

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Solution

The third proportional to 296,651 and 420,035 is: 594,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,651 : 420,035 = 420,035 : x
  2. Step 2: Convert to fraction form
    296,651/420,035 = 420,035/x
  3. Step 3: Cross multiply
    296,651x = 420,035 × 420,035
  4. Step 4: Simplify right side
    296,651x = 176,429,401,225
  5. Step 5: Solve for x
    x = 176,429,401,225/296,651
  6. Step 6: Final answer
    x = 594,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.