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Finding the Third Proportional to 288,742 and 609,074

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Solution

The third proportional to 288,742 and 609,074 is: 1,284,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,742 : 609,074 = 609,074 : x
  2. Step 2: Convert to fraction form
    288,742/609,074 = 609,074/x
  3. Step 3: Cross multiply
    288,742x = 609,074 × 609,074
  4. Step 4: Simplify right side
    288,742x = 370,971,137,476
  5. Step 5: Solve for x
    x = 370,971,137,476/288,742
  6. Step 6: Final answer
    x = 1,284,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.