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Finding the Third Proportional to 209,031 and 459,681

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Solution

The third proportional to 209,031 and 459,681 is: 1,010,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,031 : 459,681 = 459,681 : x
  2. Step 2: Convert to fraction form
    209,031/459,681 = 459,681/x
  3. Step 3: Cross multiply
    209,031x = 459,681 × 459,681
  4. Step 4: Simplify right side
    209,031x = 211,306,621,761
  5. Step 5: Solve for x
    x = 211,306,621,761/209,031
  6. Step 6: Final answer
    x = 1,010,886.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.