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Finding the Third Proportional to 816,287 and 1,287,037

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Solution

The third proportional to 816,287 and 1,287,037 is: 2,029,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,287 : 1,287,037 = 1,287,037 : x
  2. Step 2: Convert to fraction form
    816,287/1,287,037 = 1,287,037/x
  3. Step 3: Cross multiply
    816,287x = 1,287,037 × 1,287,037
  4. Step 4: Simplify right side
    816,287x = 1,656,464,239,369
  5. Step 5: Solve for x
    x = 1,656,464,239,369/816,287
  6. Step 6: Final answer
    x = 2,029,266.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.