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Finding the Third Proportional to 448,452 and 666,291

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Solution

The third proportional to 448,452 and 666,291 is: 989,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,452 : 666,291 = 666,291 : x
  2. Step 2: Convert to fraction form
    448,452/666,291 = 666,291/x
  3. Step 3: Cross multiply
    448,452x = 666,291 × 666,291
  4. Step 4: Simplify right side
    448,452x = 443,943,696,681
  5. Step 5: Solve for x
    x = 443,943,696,681/448,452
  6. Step 6: Final answer
    x = 989,946.97

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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.