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Finding the Third Proportional to 131,768 and 289,778

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Solution

The third proportional to 131,768 and 289,778 is: 637,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,768 : 289,778 = 289,778 : x
  2. Step 2: Convert to fraction form
    131,768/289,778 = 289,778/x
  3. Step 3: Cross multiply
    131,768x = 289,778 × 289,778
  4. Step 4: Simplify right side
    131,768x = 83,971,289,284
  5. Step 5: Solve for x
    x = 83,971,289,284/131,768
  6. Step 6: Final answer
    x = 637,266.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.