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Finding the Third Proportional to 288,772 and 433,158

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Solution

The third proportional to 288,772 and 433,158 is: 649,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,772 : 433,158 = 433,158 : x
  2. Step 2: Convert to fraction form
    288,772/433,158 = 433,158/x
  3. Step 3: Cross multiply
    288,772x = 433,158 × 433,158
  4. Step 4: Simplify right side
    288,772x = 187,625,852,964
  5. Step 5: Solve for x
    x = 187,625,852,964/288,772
  6. Step 6: Final answer
    x = 649,737

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.