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Finding the Third Proportional to 448,454 and 666,294

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Solution

The third proportional to 448,454 and 666,294 is: 989,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,454 : 666,294 = 666,294 : x
  2. Step 2: Convert to fraction form
    448,454/666,294 = 666,294/x
  3. Step 3: Cross multiply
    448,454x = 666,294 × 666,294
  4. Step 4: Simplify right side
    448,454x = 443,947,694,436
  5. Step 5: Solve for x
    x = 443,947,694,436/448,454
  6. Step 6: Final answer
    x = 989,951.47

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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.