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Finding the Third Proportional to 312,048 and 469,863

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Solution

The third proportional to 312,048 and 469,863 is: 707,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,048 : 469,863 = 469,863 : x
  2. Step 2: Convert to fraction form
    312,048/469,863 = 469,863/x
  3. Step 3: Cross multiply
    312,048x = 469,863 × 469,863
  4. Step 4: Simplify right side
    312,048x = 220,771,238,769
  5. Step 5: Solve for x
    x = 220,771,238,769/312,048
  6. Step 6: Final answer
    x = 707,491.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.