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Finding the Third Proportional to 290,670 and 649,368

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Solution

The third proportional to 290,670 and 649,368 is: 1,450,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,670 : 649,368 = 649,368 : x
  2. Step 2: Convert to fraction form
    290,670/649,368 = 649,368/x
  3. Step 3: Cross multiply
    290,670x = 649,368 × 649,368
  4. Step 4: Simplify right side
    290,670x = 421,678,799,424
  5. Step 5: Solve for x
    x = 421,678,799,424/290,670
  6. Step 6: Final answer
    x = 1,450,713.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.