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Finding the Third Proportional to 340,730,365 and 741,160,190

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Solution

The third proportional to 340,730,365 and 741,160,190 is: 1,612,179,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,365 : 741,160,190 = 741,160,190 : x
  2. Step 2: Convert to fraction form
    340,730,365/741,160,190 = 741,160,190/x
  3. Step 3: Cross multiply
    340,730,365x = 741,160,190 × 741,160,190
  4. Step 4: Simplify right side
    340,730,365x = 549,318,427,240,836,096
  5. Step 5: Solve for x
    x = 549,318,427,240,836,096/340,730,365
  6. Step 6: Final answer
    x = 1,612,179,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.