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Finding the Third Proportional to 328,572 and 706,230

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Solution

The third proportional to 328,572 and 706,230 is: 1,517,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,572 : 706,230 = 706,230 : x
  2. Step 2: Convert to fraction form
    328,572/706,230 = 706,230/x
  3. Step 3: Cross multiply
    328,572x = 706,230 × 706,230
  4. Step 4: Simplify right side
    328,572x = 498,760,812,900
  5. Step 5: Solve for x
    x = 498,760,812,900/328,572
  6. Step 6: Final answer
    x = 1,517,965.05

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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.