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Finding the Third Proportional to 452,497 and 949,058

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Solution

The third proportional to 452,497 and 949,058 is: 1,990,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,497 : 949,058 = 949,058 : x
  2. Step 2: Convert to fraction form
    452,497/949,058 = 949,058/x
  3. Step 3: Cross multiply
    452,497x = 949,058 × 949,058
  4. Step 4: Simplify right side
    452,497x = 900,711,087,364
  5. Step 5: Solve for x
    x = 900,711,087,364/452,497
  6. Step 6: Final answer
    x = 1,990,534.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.