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Finding the Third Proportional to 30,721 and 46,689.50

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Solution

The third proportional to 30,721 and 46,689.50 is: 70,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721 : 46,689.50 = 46,689.50 : x
  2. Step 2: Convert to fraction form
    30,721/46,689.50 = 46,689.50/x
  3. Step 3: Cross multiply
    30,721x = 46,689.50 × 46,689.50
  4. Step 4: Simplify right side
    30,721x = 2,179,909,410.25
  5. Step 5: Solve for x
    x = 2,179,909,410.25/30,721
  6. Step 6: Final answer
    x = 70,958.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.