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Finding the Third Proportional to 685,900 and 1,502,561

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Solution

The third proportional to 685,900 and 1,502,561 is: 3,291,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,900 : 1,502,561 = 1,502,561 : x
  2. Step 2: Convert to fraction form
    685,900/1,502,561 = 1,502,561/x
  3. Step 3: Cross multiply
    685,900x = 1,502,561 × 1,502,561
  4. Step 4: Simplify right side
    685,900x = 2,257,689,558,721
  5. Step 5: Solve for x
    x = 2,257,689,558,721/685,900
  6. Step 6: Final answer
    x = 3,291,572.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.