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Finding the Third Proportional to 329,020 and 706,986

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Solution

The third proportional to 329,020 and 706,986 is: 1,519,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020 : 706,986 = 706,986 : x
  2. Step 2: Convert to fraction form
    329,020/706,986 = 706,986/x
  3. Step 3: Cross multiply
    329,020x = 706,986 × 706,986
  4. Step 4: Simplify right side
    329,020x = 499,829,204,196
  5. Step 5: Solve for x
    x = 499,829,204,196/329,020
  6. Step 6: Final answer
    x = 1,519,145.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.