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Finding the Third Proportional to 216,585 and 348,939

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Solution

The third proportional to 216,585 and 348,939 is: 562,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,585 : 348,939 = 348,939 : x
  2. Step 2: Convert to fraction form
    216,585/348,939 = 348,939/x
  3. Step 3: Cross multiply
    216,585x = 348,939 × 348,939
  4. Step 4: Simplify right side
    216,585x = 121,758,425,721
  5. Step 5: Solve for x
    x = 121,758,425,721/216,585
  6. Step 6: Final answer
    x = 562,173.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.