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Finding the Third Proportional to 183,698 and 278,315

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Solution

The third proportional to 183,698 and 278,315 is: 421,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,698 : 278,315 = 278,315 : x
  2. Step 2: Convert to fraction form
    183,698/278,315 = 278,315/x
  3. Step 3: Cross multiply
    183,698x = 278,315 × 278,315
  4. Step 4: Simplify right side
    183,698x = 77,459,239,225
  5. Step 5: Solve for x
    x = 77,459,239,225/183,698
  6. Step 6: Final answer
    x = 421,666.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.