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Finding the Third Proportional to 30,009.45 and 64,466.93

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Solution

The third proportional to 30,009.45 and 64,466.93 is: 138,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.45 : 64,466.93 = 64,466.93 : x
  2. Step 2: Convert to fraction form
    30,009.45/64,466.93 = 64,466.93/x
  3. Step 3: Cross multiply
    30,009.45x = 64,466.93 × 64,466.93
  4. Step 4: Simplify right side
    30,009.45x = 4,155,985,023.33
  5. Step 5: Solve for x
    x = 4,155,985,023.33/30,009.45
  6. Step 6: Final answer
    x = 138,489.23

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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.