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Finding the Third Proportional to 29,913 and 64,779

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Solution

The third proportional to 29,913 and 64,779 is: 140,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913 : 64,779 = 64,779 : x
  2. Step 2: Convert to fraction form
    29,913/64,779 = 64,779/x
  3. Step 3: Cross multiply
    29,913x = 64,779 × 64,779
  4. Step 4: Simplify right side
    29,913x = 4,196,318,841
  5. Step 5: Solve for x
    x = 4,196,318,841/29,913
  6. Step 6: Final answer
    x = 140,284.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.