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Finding the Third Proportional to 242,128 and 373,400

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Solution

The third proportional to 242,128 and 373,400 is: 575,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,128 : 373,400 = 373,400 : x
  2. Step 2: Convert to fraction form
    242,128/373,400 = 373,400/x
  3. Step 3: Cross multiply
    242,128x = 373,400 × 373,400
  4. Step 4: Simplify right side
    242,128x = 139,427,560,000
  5. Step 5: Solve for x
    x = 139,427,560,000/242,128
  6. Step 6: Final answer
    x = 575,842.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.