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Finding the Third Proportional to 328,360 and 718,424

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Solution

The third proportional to 328,360 and 718,424 is: 1,571,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,360 : 718,424 = 718,424 : x
  2. Step 2: Convert to fraction form
    328,360/718,424 = 718,424/x
  3. Step 3: Cross multiply
    328,360x = 718,424 × 718,424
  4. Step 4: Simplify right side
    328,360x = 516,133,043,776
  5. Step 5: Solve for x
    x = 516,133,043,776/328,360
  6. Step 6: Final answer
    x = 1,571,851.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.