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Finding the Third Proportional to 130,220 and 284,304

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Solution

The third proportional to 130,220 and 284,304 is: 620,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,220 : 284,304 = 284,304 : x
  2. Step 2: Convert to fraction form
    130,220/284,304 = 284,304/x
  3. Step 3: Cross multiply
    130,220x = 284,304 × 284,304
  4. Step 4: Simplify right side
    130,220x = 80,828,764,416
  5. Step 5: Solve for x
    x = 80,828,764,416/130,220
  6. Step 6: Final answer
    x = 620,709.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.