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Finding the Third Proportional to 210,890 and 497,813

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Solution

The third proportional to 210,890 and 497,813 is: 1,175,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,890 : 497,813 = 497,813 : x
  2. Step 2: Convert to fraction form
    210,890/497,813 = 497,813/x
  3. Step 3: Cross multiply
    210,890x = 497,813 × 497,813
  4. Step 4: Simplify right side
    210,890x = 247,817,782,969
  5. Step 5: Solve for x
    x = 247,817,782,969/210,890
  6. Step 6: Final answer
    x = 1,175,104.48

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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.