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Finding the Third Proportional to 209,988 and 460,803

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Solution

The third proportional to 209,988 and 460,803 is: 1,011,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988 : 460,803 = 460,803 : x
  2. Step 2: Convert to fraction form
    209,988/460,803 = 460,803/x
  3. Step 3: Cross multiply
    209,988x = 460,803 × 460,803
  4. Step 4: Simplify right side
    209,988x = 212,339,404,809
  5. Step 5: Solve for x
    x = 212,339,404,809/209,988
  6. Step 6: Final answer
    x = 1,011,197.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.