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Finding the Third Proportional to 31,130 and 40,862

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Solution

The third proportional to 31,130 and 40,862 is: 53,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130 : 40,862 = 40,862 : x
  2. Step 2: Convert to fraction form
    31,130/40,862 = 40,862/x
  3. Step 3: Cross multiply
    31,130x = 40,862 × 40,862
  4. Step 4: Simplify right side
    31,130x = 1,669,703,044
  5. Step 5: Solve for x
    x = 1,669,703,044/31,130
  6. Step 6: Final answer
    x = 53,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.