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Finding the Third Proportional to 210,589 and 497,129

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Solution

The third proportional to 210,589 and 497,129 is: 1,173,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,589 : 497,129 = 497,129 : x
  2. Step 2: Convert to fraction form
    210,589/497,129 = 497,129/x
  3. Step 3: Cross multiply
    210,589x = 497,129 × 497,129
  4. Step 4: Simplify right side
    210,589x = 247,137,242,641
  5. Step 5: Solve for x
    x = 247,137,242,641/210,589
  6. Step 6: Final answer
    x = 1,173,552.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.