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Finding the Third Proportional to 353,988 and 764,272

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Solution

The third proportional to 353,988 and 764,272 is: 1,650,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,988 : 764,272 = 764,272 : x
  2. Step 2: Convert to fraction form
    353,988/764,272 = 764,272/x
  3. Step 3: Cross multiply
    353,988x = 764,272 × 764,272
  4. Step 4: Simplify right side
    353,988x = 584,111,689,984
  5. Step 5: Solve for x
    x = 584,111,689,984/353,988
  6. Step 6: Final answer
    x = 1,650,088.96

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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.