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Finding the Third Proportional to 388,549 and 553,760

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Solution

The third proportional to 388,549 and 553,760 is: 789,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,549 : 553,760 = 553,760 : x
  2. Step 2: Convert to fraction form
    388,549/553,760 = 553,760/x
  3. Step 3: Cross multiply
    388,549x = 553,760 × 553,760
  4. Step 4: Simplify right side
    388,549x = 306,650,137,600
  5. Step 5: Solve for x
    x = 306,650,137,600/388,549
  6. Step 6: Final answer
    x = 789,218.70

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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.