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Finding the Third Proportional to 328,574 and 706,222

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Solution

The third proportional to 328,574 and 706,222 is: 1,517,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,574 : 706,222 = 706,222 : x
  2. Step 2: Convert to fraction form
    328,574/706,222 = 706,222/x
  3. Step 3: Cross multiply
    328,574x = 706,222 × 706,222
  4. Step 4: Simplify right side
    328,574x = 498,749,513,284
  5. Step 5: Solve for x
    x = 498,749,513,284/328,574
  6. Step 6: Final answer
    x = 1,517,921.42

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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.