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Finding the Third Proportional to 393,660 and 577,368

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Solution

The third proportional to 393,660 and 577,368 is: 846,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,660 : 577,368 = 577,368 : x
  2. Step 2: Convert to fraction form
    393,660/577,368 = 577,368/x
  3. Step 3: Cross multiply
    393,660x = 577,368 × 577,368
  4. Step 4: Simplify right side
    393,660x = 333,353,807,424
  5. Step 5: Solve for x
    x = 333,353,807,424/393,660
  6. Step 6: Final answer
    x = 846,806.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.