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Finding the Third Proportional to 68,955,486 and 146,316,712

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Solution

The third proportional to 68,955,486 and 146,316,712 is: 310,469,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,955,486 : 146,316,712 = 146,316,712 : x
  2. Step 2: Convert to fraction form
    68,955,486/146,316,712 = 146,316,712/x
  3. Step 3: Cross multiply
    68,955,486x = 146,316,712 × 146,316,712
  4. Step 4: Simplify right side
    68,955,486x = 21,408,580,210,490,944
  5. Step 5: Solve for x
    x = 21,408,580,210,490,944/68,955,486
  6. Step 6: Final answer
    x = 310,469,571.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.