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Finding the Third Proportional to 790,200 and 1,706,755.50

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Solution

The third proportional to 790,200 and 1,706,755.50 is: 3,686,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,200 : 1,706,755.50 = 1,706,755.50 : x
  2. Step 2: Convert to fraction form
    790,200/1,706,755.50 = 1,706,755.50/x
  3. Step 3: Cross multiply
    790,200x = 1,706,755.50 × 1,706,755.50
  4. Step 4: Simplify right side
    790,200x = 2,913,014,336,780.25
  5. Step 5: Solve for x
    x = 2,913,014,336,780.25/790,200
  6. Step 6: Final answer
    x = 3,686,426.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.