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Finding the Third Proportional to 303,670 and 432,585

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Solution

The third proportional to 303,670 and 432,585 is: 616,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,670 : 432,585 = 432,585 : x
  2. Step 2: Convert to fraction form
    303,670/432,585 = 432,585/x
  3. Step 3: Cross multiply
    303,670x = 432,585 × 432,585
  4. Step 4: Simplify right side
    303,670x = 187,129,782,225
  5. Step 5: Solve for x
    x = 187,129,782,225/303,670
  6. Step 6: Final answer
    x = 616,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.