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Finding the Third Proportional to 809,778 and 1,210,209

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Solution

The third proportional to 809,778 and 1,210,209 is: 1,808,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,778 : 1,210,209 = 1,210,209 : x
  2. Step 2: Convert to fraction form
    809,778/1,210,209 = 1,210,209/x
  3. Step 3: Cross multiply
    809,778x = 1,210,209 × 1,210,209
  4. Step 4: Simplify right side
    809,778x = 1,464,605,823,681
  5. Step 5: Solve for x
    x = 1,464,605,823,681/809,778
  6. Step 6: Final answer
    x = 1,808,651.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.