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Finding the Third Proportional to 407,445 and 885,729

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Solution

The third proportional to 407,445 and 885,729 is: 1,925,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,445 : 885,729 = 885,729 : x
  2. Step 2: Convert to fraction form
    407,445/885,729 = 885,729/x
  3. Step 3: Cross multiply
    407,445x = 885,729 × 885,729
  4. Step 4: Simplify right side
    407,445x = 784,515,861,441
  5. Step 5: Solve for x
    x = 784,515,861,441/407,445
  6. Step 6: Final answer
    x = 1,925,452.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.