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Finding the Third Proportional to 862,369 and 1,814,110.50

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Solution

The third proportional to 862,369 and 1,814,110.50 is: 3,816,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,369 : 1,814,110.50 = 1,814,110.50 : x
  2. Step 2: Convert to fraction form
    862,369/1,814,110.50 = 1,814,110.50/x
  3. Step 3: Cross multiply
    862,369x = 1,814,110.50 × 1,814,110.50
  4. Step 4: Simplify right side
    862,369x = 3,290,996,906,210.25
  5. Step 5: Solve for x
    x = 3,290,996,906,210.25/862,369
  6. Step 6: Final answer
    x = 3,816,228.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.