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Finding the Third Proportional to 498,455 and 753,633

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Solution

The third proportional to 498,455 and 753,633 is: 1,139,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,455 : 753,633 = 753,633 : x
  2. Step 2: Convert to fraction form
    498,455/753,633 = 753,633/x
  3. Step 3: Cross multiply
    498,455x = 753,633 × 753,633
  4. Step 4: Simplify right side
    498,455x = 567,962,698,689
  5. Step 5: Solve for x
    x = 567,962,698,689/498,455
  6. Step 6: Final answer
    x = 1,139,446.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.