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Finding the Third Proportional to 223,127 and 312,087

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Solution

The third proportional to 223,127 and 312,087 is: 436,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,127 : 312,087 = 312,087 : x
  2. Step 2: Convert to fraction form
    223,127/312,087 = 312,087/x
  3. Step 3: Cross multiply
    223,127x = 312,087 × 312,087
  4. Step 4: Simplify right side
    223,127x = 97,398,295,569
  5. Step 5: Solve for x
    x = 97,398,295,569/223,127
  6. Step 6: Final answer
    x = 436,515.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.