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Finding the Third Proportional to 638,355 and 989,791

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Solution

The third proportional to 638,355 and 989,791 is: 1,534,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,355 : 989,791 = 989,791 : x
  2. Step 2: Convert to fraction form
    638,355/989,791 = 989,791/x
  3. Step 3: Cross multiply
    638,355x = 989,791 × 989,791
  4. Step 4: Simplify right side
    638,355x = 979,686,223,681
  5. Step 5: Solve for x
    x = 979,686,223,681/638,355
  6. Step 6: Final answer
    x = 1,534,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.