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Finding the Third Proportional to 287,208 and 451,724

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Solution

The third proportional to 287,208 and 451,724 is: 710,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208 : 451,724 = 451,724 : x
  2. Step 2: Convert to fraction form
    287,208/451,724 = 451,724/x
  3. Step 3: Cross multiply
    287,208x = 451,724 × 451,724
  4. Step 4: Simplify right side
    287,208x = 204,054,572,176
  5. Step 5: Solve for x
    x = 204,054,572,176/287,208
  6. Step 6: Final answer
    x = 710,476.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.