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Finding the Third Proportional to 393,724 and 607,974

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Solution

The third proportional to 393,724 and 607,974 is: 938,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,724 : 607,974 = 607,974 : x
  2. Step 2: Convert to fraction form
    393,724/607,974 = 607,974/x
  3. Step 3: Cross multiply
    393,724x = 607,974 × 607,974
  4. Step 4: Simplify right side
    393,724x = 369,632,384,676
  5. Step 5: Solve for x
    x = 369,632,384,676/393,724
  6. Step 6: Final answer
    x = 938,810.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.