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Finding the Third Proportional to 31,310,140 and 67,250,420

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Solution

The third proportional to 31,310,140 and 67,250,420 is: 144,445,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310,140 : 67,250,420 = 67,250,420 : x
  2. Step 2: Convert to fraction form
    31,310,140/67,250,420 = 67,250,420/x
  3. Step 3: Cross multiply
    31,310,140x = 67,250,420 × 67,250,420
  4. Step 4: Simplify right side
    31,310,140x = 4,522,618,990,176,400
  5. Step 5: Solve for x
    x = 4,522,618,990,176,400/31,310,140
  6. Step 6: Final answer
    x = 144,445,824.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.