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Finding the Third Proportional to 68,982,316 and 108,212,946

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Solution

The third proportional to 68,982,316 and 108,212,946 is: 169,754,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982,316 : 108,212,946 = 108,212,946 : x
  2. Step 2: Convert to fraction form
    68,982,316/108,212,946 = 108,212,946/x
  3. Step 3: Cross multiply
    68,982,316x = 108,212,946 × 108,212,946
  4. Step 4: Simplify right side
    68,982,316x = 11,710,041,681,998,916
  5. Step 5: Solve for x
    x = 11,710,041,681,998,916/68,982,316
  6. Step 6: Final answer
    x = 169,754,255.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.