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Finding the Third Proportional to 448,587 and 666,400

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Solution

The third proportional to 448,587 and 666,400 is: 989,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,587 : 666,400 = 666,400 : x
  2. Step 2: Convert to fraction form
    448,587/666,400 = 666,400/x
  3. Step 3: Cross multiply
    448,587x = 666,400 × 666,400
  4. Step 4: Simplify right side
    448,587x = 444,088,960,000
  5. Step 5: Solve for x
    x = 444,088,960,000/448,587
  6. Step 6: Final answer
    x = 989,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.