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Finding the Third Proportional to 102,200 and 159,507

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Solution

The third proportional to 102,200 and 159,507 is: 248,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200 : 159,507 = 159,507 : x
  2. Step 2: Convert to fraction form
    102,200/159,507 = 159,507/x
  3. Step 3: Cross multiply
    102,200x = 159,507 × 159,507
  4. Step 4: Simplify right side
    102,200x = 25,442,483,049
  5. Step 5: Solve for x
    x = 25,442,483,049/102,200
  6. Step 6: Final answer
    x = 248,947.98

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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.