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Finding the Third Proportional to 555,568 and 786,642

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Solution

The third proportional to 555,568 and 786,642 is: 1,113,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,568 : 786,642 = 786,642 : x
  2. Step 2: Convert to fraction form
    555,568/786,642 = 786,642/x
  3. Step 3: Cross multiply
    555,568x = 786,642 × 786,642
  4. Step 4: Simplify right side
    555,568x = 618,805,636,164
  5. Step 5: Solve for x
    x = 618,805,636,164/555,568
  6. Step 6: Final answer
    x = 1,113,825.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.