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Finding the Third Proportional to 401,494 and 891,560

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Solution

The third proportional to 401,494 and 891,560 is: 1,979,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,494 : 891,560 = 891,560 : x
  2. Step 2: Convert to fraction form
    401,494/891,560 = 891,560/x
  3. Step 3: Cross multiply
    401,494x = 891,560 × 891,560
  4. Step 4: Simplify right side
    401,494x = 794,879,233,600
  5. Step 5: Solve for x
    x = 794,879,233,600/401,494
  6. Step 6: Final answer
    x = 1,979,803.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.