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Finding the Third Proportional to 29,990 and 45,417

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Solution

The third proportional to 29,990 and 45,417 is: 68,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,990 : 45,417 = 45,417 : x
  2. Step 2: Convert to fraction form
    29,990/45,417 = 45,417/x
  3. Step 3: Cross multiply
    29,990x = 45,417 × 45,417
  4. Step 4: Simplify right side
    29,990x = 2,062,703,889
  5. Step 5: Solve for x
    x = 2,062,703,889/29,990
  6. Step 6: Final answer
    x = 68,779.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.