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Finding the Third Proportional to 30,001 and 64,365

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Solution

The third proportional to 30,001 and 64,365 is: 138,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001 : 64,365 = 64,365 : x
  2. Step 2: Convert to fraction form
    30,001/64,365 = 64,365/x
  3. Step 3: Cross multiply
    30,001x = 64,365 × 64,365
  4. Step 4: Simplify right side
    30,001x = 4,142,853,225
  5. Step 5: Solve for x
    x = 4,142,853,225/30,001
  6. Step 6: Final answer
    x = 138,090.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.