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Finding the Third Proportional to 223,476 and 510,564

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Solution

The third proportional to 223,476 and 510,564 is: 1,166,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,476 : 510,564 = 510,564 : x
  2. Step 2: Convert to fraction form
    223,476/510,564 = 510,564/x
  3. Step 3: Cross multiply
    223,476x = 510,564 × 510,564
  4. Step 4: Simplify right side
    223,476x = 260,675,598,096
  5. Step 5: Solve for x
    x = 260,675,598,096/223,476
  6. Step 6: Final answer
    x = 1,166,459.03

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.