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Finding the Third Proportional to 272,427,313.50 and 422,995,466.25

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Solution

The third proportional to 272,427,313.50 and 422,995,466.25 is: 656,781,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,313.50 : 422,995,466.25 = 422,995,466.25 : x
  2. Step 2: Convert to fraction form
    272,427,313.50/422,995,466.25 = 422,995,466.25/x
  3. Step 3: Cross multiply
    272,427,313.50x = 422,995,466.25 × 422,995,466.25
  4. Step 4: Simplify right side
    272,427,313.50x = 178,925,164,468,054,880
  5. Step 5: Solve for x
    x = 178,925,164,468,054,880/272,427,313.50
  6. Step 6: Final answer
    x = 656,781,297.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.