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Finding the Third Proportional to 132,294 and 289,426

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Solution

The third proportional to 132,294 and 289,426 is: 633,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294 : 289,426 = 289,426 : x
  2. Step 2: Convert to fraction form
    132,294/289,426 = 289,426/x
  3. Step 3: Cross multiply
    132,294x = 289,426 × 289,426
  4. Step 4: Simplify right side
    132,294x = 83,767,409,476
  5. Step 5: Solve for x
    x = 83,767,409,476/132,294
  6. Step 6: Final answer
    x = 633,191.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.