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Finding the Third Proportional to 66,505,492 and 105,905,216

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Solution

The third proportional to 66,505,492 and 105,905,216 is: 168,646,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505,492 : 105,905,216 = 105,905,216 : x
  2. Step 2: Convert to fraction form
    66,505,492/105,905,216 = 105,905,216/x
  3. Step 3: Cross multiply
    66,505,492x = 105,905,216 × 105,905,216
  4. Step 4: Simplify right side
    66,505,492x = 11,215,914,776,006,656
  5. Step 5: Solve for x
    x = 11,215,914,776,006,656/66,505,492
  6. Step 6: Final answer
    x = 168,646,444.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.