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Finding the Third Proportional to 229,313 and 347,438

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Solution

The third proportional to 229,313 and 347,438 is: 526,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,313 : 347,438 = 347,438 : x
  2. Step 2: Convert to fraction form
    229,313/347,438 = 347,438/x
  3. Step 3: Cross multiply
    229,313x = 347,438 × 347,438
  4. Step 4: Simplify right side
    229,313x = 120,713,163,844
  5. Step 5: Solve for x
    x = 120,713,163,844/229,313
  6. Step 6: Final answer
    x = 526,412.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.