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Finding the Third Proportional to 45,623 and 66,859

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Solution

The third proportional to 45,623 and 66,859 is: 97,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,623 : 66,859 = 66,859 : x
  2. Step 2: Convert to fraction form
    45,623/66,859 = 66,859/x
  3. Step 3: Cross multiply
    45,623x = 66,859 × 66,859
  4. Step 4: Simplify right side
    45,623x = 4,470,125,881
  5. Step 5: Solve for x
    x = 4,470,125,881/45,623
  6. Step 6: Final answer
    x = 97,979.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.