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Finding the Third Proportional to 448,605 and 666,423

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Solution

The third proportional to 448,605 and 666,423 is: 990,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,605 : 666,423 = 666,423 : x
  2. Step 2: Convert to fraction form
    448,605/666,423 = 666,423/x
  3. Step 3: Cross multiply
    448,605x = 666,423 × 666,423
  4. Step 4: Simplify right side
    448,605x = 444,119,614,929
  5. Step 5: Solve for x
    x = 444,119,614,929/448,605
  6. Step 6: Final answer
    x = 990,001.48

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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.