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Finding the Third Proportional to 68,569,369 and 146,438,138

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Solution

The third proportional to 68,569,369 and 146,438,138 is: 312,736,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,369 : 146,438,138 = 146,438,138 : x
  2. Step 2: Convert to fraction form
    68,569,369/146,438,138 = 146,438,138/x
  3. Step 3: Cross multiply
    68,569,369x = 146,438,138 × 146,438,138
  4. Step 4: Simplify right side
    68,569,369x = 21,444,128,260,907,044
  5. Step 5: Solve for x
    x = 21,444,128,260,907,044/68,569,369
  6. Step 6: Final answer
    x = 312,736,263.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.