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Finding the Third Proportional to 217,305 and 345,776

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Solution

The third proportional to 217,305 and 345,776 is: 550,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,305 : 345,776 = 345,776 : x
  2. Step 2: Convert to fraction form
    217,305/345,776 = 345,776/x
  3. Step 3: Cross multiply
    217,305x = 345,776 × 345,776
  4. Step 4: Simplify right side
    217,305x = 119,561,042,176
  5. Step 5: Solve for x
    x = 119,561,042,176/217,305
  6. Step 6: Final answer
    x = 550,199.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.