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Finding the Third Proportional to 143,496 and 223,445

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Solution

The third proportional to 143,496 and 223,445 is: 347,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,496 : 223,445 = 223,445 : x
  2. Step 2: Convert to fraction form
    143,496/223,445 = 223,445/x
  3. Step 3: Cross multiply
    143,496x = 223,445 × 223,445
  4. Step 4: Simplify right side
    143,496x = 49,927,668,025
  5. Step 5: Solve for x
    x = 49,927,668,025/143,496
  6. Step 6: Final answer
    x = 347,937.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.