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Finding the Third Proportional to 30,979 and 48,036.50

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Solution

The third proportional to 30,979 and 48,036.50 is: 74,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,979 : 48,036.50 = 48,036.50 : x
  2. Step 2: Convert to fraction form
    30,979/48,036.50 = 48,036.50/x
  3. Step 3: Cross multiply
    30,979x = 48,036.50 × 48,036.50
  4. Step 4: Simplify right side
    30,979x = 2,307,505,332.25
  5. Step 5: Solve for x
    x = 2,307,505,332.25/30,979
  6. Step 6: Final answer
    x = 74,486.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.