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Finding the Third Proportional to 102,352 and 156,768

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Solution

The third proportional to 102,352 and 156,768 is: 240,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352 : 156,768 = 156,768 : x
  2. Step 2: Convert to fraction form
    102,352/156,768 = 156,768/x
  3. Step 3: Cross multiply
    102,352x = 156,768 × 156,768
  4. Step 4: Simplify right side
    102,352x = 24,576,205,824
  5. Step 5: Solve for x
    x = 24,576,205,824/102,352
  6. Step 6: Final answer
    x = 240,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.