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Finding the Third Proportional to 30,185,979 and 47,072,580.75

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Solution

The third proportional to 30,185,979 and 47,072,580.75 is: 73,405,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185,979 : 47,072,580.75 = 47,072,580.75 : x
  2. Step 2: Convert to fraction form
    30,185,979/47,072,580.75 = 47,072,580.75/x
  3. Step 3: Cross multiply
    30,185,979x = 47,072,580.75 × 47,072,580.75
  4. Step 4: Simplify right side
    30,185,979x = 2,215,827,858,465,270.50
  5. Step 5: Solve for x
    x = 2,215,827,858,465,270.50/30,185,979
  6. Step 6: Final answer
    x = 73,405,863.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.