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Finding the Third Proportional to 787,705 and 1,728,580

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Solution

The third proportional to 787,705 and 1,728,580 is: 3,793,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,705 : 1,728,580 = 1,728,580 : x
  2. Step 2: Convert to fraction form
    787,705/1,728,580 = 1,728,580/x
  3. Step 3: Cross multiply
    787,705x = 1,728,580 × 1,728,580
  4. Step 4: Simplify right side
    787,705x = 2,987,988,816,400
  5. Step 5: Solve for x
    x = 2,987,988,816,400/787,705
  6. Step 6: Final answer
    x = 3,793,284.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.