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Finding the Third Proportional to 382,476 and 560,178

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Solution

The third proportional to 382,476 and 560,178 is: 820,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,476 : 560,178 = 560,178 : x
  2. Step 2: Convert to fraction form
    382,476/560,178 = 560,178/x
  3. Step 3: Cross multiply
    382,476x = 560,178 × 560,178
  4. Step 4: Simplify right side
    382,476x = 313,799,391,684
  5. Step 5: Solve for x
    x = 313,799,391,684/382,476
  6. Step 6: Final answer
    x = 820,442.05

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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.