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Finding the Third Proportional to 296,124.75 and 433,132.88

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Solution

The third proportional to 296,124.75 and 433,132.88 is: 633,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,124.75 : 433,132.88 = 433,132.88 : x
  2. Step 2: Convert to fraction form
    296,124.75/433,132.88 = 433,132.88/x
  3. Step 3: Cross multiply
    296,124.75x = 433,132.88 × 433,132.88
  4. Step 4: Simplify right side
    296,124.75x = 187,604,087,405.77
  5. Step 5: Solve for x
    x = 187,604,087,405.77/296,124.75
  6. Step 6: Final answer
    x = 633,530.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.