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Finding the Third Proportional to 143,267 and 308,547

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Solution

The third proportional to 143,267 and 308,547 is: 664,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,267 : 308,547 = 308,547 : x
  2. Step 2: Convert to fraction form
    143,267/308,547 = 308,547/x
  3. Step 3: Cross multiply
    143,267x = 308,547 × 308,547
  4. Step 4: Simplify right side
    143,267x = 95,201,251,209
  5. Step 5: Solve for x
    x = 95,201,251,209/143,267
  6. Step 6: Final answer
    x = 664,502.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.