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Finding the Third Proportional to 213,522 and 313,857

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Solution

The third proportional to 213,522 and 313,857 is: 461,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,522 : 313,857 = 313,857 : x
  2. Step 2: Convert to fraction form
    213,522/313,857 = 313,857/x
  3. Step 3: Cross multiply
    213,522x = 313,857 × 313,857
  4. Step 4: Simplify right side
    213,522x = 98,506,216,449
  5. Step 5: Solve for x
    x = 98,506,216,449/213,522
  6. Step 6: Final answer
    x = 461,339.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.