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Finding the Third Proportional to 31,427,007.75 and 68,697,679.50

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Solution

The third proportional to 31,427,007.75 and 68,697,679.50 is: 150,169,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427,007.75 : 68,697,679.50 = 68,697,679.50 : x
  2. Step 2: Convert to fraction form
    31,427,007.75/68,697,679.50 = 68,697,679.50/x
  3. Step 3: Cross multiply
    31,427,007.75x = 68,697,679.50 × 68,697,679.50
  4. Step 4: Simplify right side
    31,427,007.75x = 4,719,371,168,684,720
  5. Step 5: Solve for x
    x = 4,719,371,168,684,720/31,427,007.75
  6. Step 6: Final answer
    x = 150,169,281.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.