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Finding the Third Proportional to 288,136 and 669,856

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Solution

The third proportional to 288,136 and 669,856 is: 1,557,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,136 : 669,856 = 669,856 : x
  2. Step 2: Convert to fraction form
    288,136/669,856 = 669,856/x
  3. Step 3: Cross multiply
    288,136x = 669,856 × 669,856
  4. Step 4: Simplify right side
    288,136x = 448,707,060,736
  5. Step 5: Solve for x
    x = 448,707,060,736/288,136
  6. Step 6: Final answer
    x = 1,557,275.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.