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Finding the Third Proportional to 31,381,030 and 73,280,033

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Solution

The third proportional to 31,381,030 and 73,280,033 is: 171,121,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381,030 : 73,280,033 = 73,280,033 : x
  2. Step 2: Convert to fraction form
    31,381,030/73,280,033 = 73,280,033/x
  3. Step 3: Cross multiply
    31,381,030x = 73,280,033 × 73,280,033
  4. Step 4: Simplify right side
    31,381,030x = 5,369,963,236,481,089
  5. Step 5: Solve for x
    x = 5,369,963,236,481,089/31,381,030
  6. Step 6: Final answer
    x = 171,121,318.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.