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Finding the Third Proportional to 67,918,999.50 and 105,914,145.38

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Solution

The third proportional to 67,918,999.50 and 105,914,145.38 is: 165,164,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,918,999.50 : 105,914,145.38 = 105,914,145.38 : x
  2. Step 2: Convert to fraction form
    67,918,999.50/105,914,145.38 = 105,914,145.38/x
  3. Step 3: Cross multiply
    67,918,999.50x = 105,914,145.38 × 105,914,145.38
  4. Step 4: Simplify right side
    67,918,999.50x = 11,217,806,190,516,634
  5. Step 5: Solve for x
    x = 11,217,806,190,516,634/67,918,999.50
  6. Step 6: Final answer
    x = 165,164,479.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.