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Finding the Third Proportional to 553,568 and 788,880

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Solution

The third proportional to 553,568 and 788,880 is: 1,124,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,568 : 788,880 = 788,880 : x
  2. Step 2: Convert to fraction form
    553,568/788,880 = 788,880/x
  3. Step 3: Cross multiply
    553,568x = 788,880 × 788,880
  4. Step 4: Simplify right side
    553,568x = 622,331,654,400
  5. Step 5: Solve for x
    x = 622,331,654,400/553,568
  6. Step 6: Final answer
    x = 1,124,218.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.