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Finding the Third Proportional to 297,830 and 649,210

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Solution

The third proportional to 297,830 and 649,210 is: 1,415,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,830 : 649,210 = 649,210 : x
  2. Step 2: Convert to fraction form
    297,830/649,210 = 649,210/x
  3. Step 3: Cross multiply
    297,830x = 649,210 × 649,210
  4. Step 4: Simplify right side
    297,830x = 421,473,624,100
  5. Step 5: Solve for x
    x = 421,473,624,100/297,830
  6. Step 6: Final answer
    x = 1,415,148.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.