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Finding the Third Proportional to 563,138 and 872,699

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Solution

The third proportional to 563,138 and 872,699 is: 1,352,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,138 : 872,699 = 872,699 : x
  2. Step 2: Convert to fraction form
    563,138/872,699 = 872,699/x
  3. Step 3: Cross multiply
    563,138x = 872,699 × 872,699
  4. Step 4: Simplify right side
    563,138x = 761,603,544,601
  5. Step 5: Solve for x
    x = 761,603,544,601/563,138
  6. Step 6: Final answer
    x = 1,352,427.90

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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.