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Finding the Third Proportional to 342,270 and 706,356

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Solution

The third proportional to 342,270 and 706,356 is: 1,457,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,270 : 706,356 = 706,356 : x
  2. Step 2: Convert to fraction form
    342,270/706,356 = 706,356/x
  3. Step 3: Cross multiply
    342,270x = 706,356 × 706,356
  4. Step 4: Simplify right side
    342,270x = 498,938,798,736
  5. Step 5: Solve for x
    x = 498,938,798,736/342,270
  6. Step 6: Final answer
    x = 1,457,734.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.