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Finding the Third Proportional to 191,556 and 288,791

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Solution

The third proportional to 191,556 and 288,791 is: 435,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,556 : 288,791 = 288,791 : x
  2. Step 2: Convert to fraction form
    191,556/288,791 = 288,791/x
  3. Step 3: Cross multiply
    191,556x = 288,791 × 288,791
  4. Step 4: Simplify right side
    191,556x = 83,400,241,681
  5. Step 5: Solve for x
    x = 83,400,241,681/191,556
  6. Step 6: Final answer
    x = 435,383.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.