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Finding the Third Proportional to 448,590 and 666,403

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Solution

The third proportional to 448,590 and 666,403 is: 989,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,590 : 666,403 = 666,403 : x
  2. Step 2: Convert to fraction form
    448,590/666,403 = 666,403/x
  3. Step 3: Cross multiply
    448,590x = 666,403 × 666,403
  4. Step 4: Simplify right side
    448,590x = 444,092,958,409
  5. Step 5: Solve for x
    x = 444,092,958,409/448,590
  6. Step 6: Final answer
    x = 989,975.16

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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.