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Finding the Third Proportional to 145,810 and 210,722

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Solution

The third proportional to 145,810 and 210,722 is: 304,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810 : 210,722 = 210,722 : x
  2. Step 2: Convert to fraction form
    145,810/210,722 = 210,722/x
  3. Step 3: Cross multiply
    145,810x = 210,722 × 210,722
  4. Step 4: Simplify right side
    145,810x = 44,403,761,284
  5. Step 5: Solve for x
    x = 44,403,761,284/145,810
  6. Step 6: Final answer
    x = 304,531.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.