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Finding the Third Proportional to 31,225,988.25 and 67,664,662.88

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Solution

The third proportional to 31,225,988.25 and 67,664,662.88 is: 146,624,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225,988.25 : 67,664,662.88 = 67,664,662.88 : x
  2. Step 2: Convert to fraction form
    31,225,988.25/67,664,662.88 = 67,664,662.88/x
  3. Step 3: Cross multiply
    31,225,988.25x = 67,664,662.88 × 67,664,662.88
  4. Step 4: Simplify right side
    31,225,988.25x = 4,578,506,601,987,403
  5. Step 5: Solve for x
    x = 4,578,506,601,987,403/31,225,988.25
  6. Step 6: Final answer
    x = 146,624,874.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.