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Finding the Third Proportional to 213,522.75 and 319,798.13

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Solution

The third proportional to 213,522.75 and 319,798.13 is: 478,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,522.75 : 319,798.13 = 319,798.13 : x
  2. Step 2: Convert to fraction form
    213,522.75/319,798.13 = 319,798.13/x
  3. Step 3: Cross multiply
    213,522.75x = 319,798.13 × 319,798.13
  4. Step 4: Simplify right side
    213,522.75x = 102,270,840,753.52
  5. Step 5: Solve for x
    x = 102,270,840,753.52/213,522.75
  6. Step 6: Final answer
    x = 478,969.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.