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Finding the Third Proportional to 666,000 and 1,456,416

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Solution

The third proportional to 666,000 and 1,456,416 is: 3,184,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,000 : 1,456,416 = 1,456,416 : x
  2. Step 2: Convert to fraction form
    666,000/1,456,416 = 1,456,416/x
  3. Step 3: Cross multiply
    666,000x = 1,456,416 × 1,456,416
  4. Step 4: Simplify right side
    666,000x = 2,121,147,565,056
  5. Step 5: Solve for x
    x = 2,121,147,565,056/666,000
  6. Step 6: Final answer
    x = 3,184,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.