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Finding the Third Proportional to 128,773 and 311,541

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Solution

The third proportional to 128,773 and 311,541 is: 753,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,773 : 311,541 = 311,541 : x
  2. Step 2: Convert to fraction form
    128,773/311,541 = 311,541/x
  3. Step 3: Cross multiply
    128,773x = 311,541 × 311,541
  4. Step 4: Simplify right side
    128,773x = 97,057,794,681
  5. Step 5: Solve for x
    x = 97,057,794,681/128,773
  6. Step 6: Final answer
    x = 753,712.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.