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Finding the Third Proportional to 211,478 and 308,776

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Solution

The third proportional to 211,478 and 308,776 is: 450,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478 : 308,776 = 308,776 : x
  2. Step 2: Convert to fraction form
    211,478/308,776 = 308,776/x
  3. Step 3: Cross multiply
    211,478x = 308,776 × 308,776
  4. Step 4: Simplify right side
    211,478x = 95,342,618,176
  5. Step 5: Solve for x
    x = 95,342,618,176/211,478
  6. Step 6: Final answer
    x = 450,839.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.