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Finding the Third Proportional to 298,100 and 437,644

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Solution

The third proportional to 298,100 and 437,644 is: 642,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,100 : 437,644 = 437,644 : x
  2. Step 2: Convert to fraction form
    298,100/437,644 = 437,644/x
  3. Step 3: Cross multiply
    298,100x = 437,644 × 437,644
  4. Step 4: Simplify right side
    298,100x = 191,532,270,736
  5. Step 5: Solve for x
    x = 191,532,270,736/298,100
  6. Step 6: Final answer
    x = 642,510.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.