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Finding the Third Proportional to 765,220 and 1,670,322

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Solution

The third proportional to 765,220 and 1,670,322 is: 3,645,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,220 : 1,670,322 = 1,670,322 : x
  2. Step 2: Convert to fraction form
    765,220/1,670,322 = 1,670,322/x
  3. Step 3: Cross multiply
    765,220x = 1,670,322 × 1,670,322
  4. Step 4: Simplify right side
    765,220x = 2,789,975,583,684
  5. Step 5: Solve for x
    x = 2,789,975,583,684/765,220
  6. Step 6: Final answer
    x = 3,645,978.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.