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Finding the Third Proportional to 157,803 and 221,960

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Solution

The third proportional to 157,803 and 221,960 is: 312,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,803 : 221,960 = 221,960 : x
  2. Step 2: Convert to fraction form
    157,803/221,960 = 221,960/x
  3. Step 3: Cross multiply
    157,803x = 221,960 × 221,960
  4. Step 4: Simplify right side
    157,803x = 49,266,241,600
  5. Step 5: Solve for x
    x = 49,266,241,600/157,803
  6. Step 6: Final answer
    x = 312,200.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.