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Finding the Third Proportional to 340,730,326 and 741,160,102

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Solution

The third proportional to 340,730,326 and 741,160,102 is: 1,612,179,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,326 : 741,160,102 = 741,160,102 : x
  2. Step 2: Convert to fraction form
    340,730,326/741,160,102 = 741,160,102/x
  3. Step 3: Cross multiply
    340,730,326x = 741,160,102 × 741,160,102
  4. Step 4: Simplify right side
    340,730,326x = 549,318,296,796,650,432
  5. Step 5: Solve for x
    x = 549,318,296,796,650,432/340,730,326
  6. Step 6: Final answer
    x = 1,612,179,060.33

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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.