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Finding the Third Proportional to 30,501 and 65,862

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Solution

The third proportional to 30,501 and 65,862 is: 142,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 65,862 = 65,862 : x
  2. Step 2: Convert to fraction form
    30,501/65,862 = 65,862/x
  3. Step 3: Cross multiply
    30,501x = 65,862 × 65,862
  4. Step 4: Simplify right side
    30,501x = 4,337,803,044
  5. Step 5: Solve for x
    x = 4,337,803,044/30,501
  6. Step 6: Final answer
    x = 142,218.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.