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Finding the Third Proportional to 303,614.62 and 649,267.05

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Solution

The third proportional to 303,614.62 and 649,267.05 is: 1,388,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,614.62 : 649,267.05 = 649,267.05 : x
  2. Step 2: Convert to fraction form
    303,614.62/649,267.05 = 649,267.05/x
  3. Step 3: Cross multiply
    303,614.62x = 649,267.05 × 649,267.05
  4. Step 4: Simplify right side
    303,614.62x = 421,547,700,693.95
  5. Step 5: Solve for x
    x = 421,547,700,693.95/303,614.62
  6. Step 6: Final answer
    x = 1,388,430.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.