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Finding the Third Proportional to 66,692,448 and 144,517,905

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Solution

The third proportional to 66,692,448 and 144,517,905 is: 313,160,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,692,448 : 144,517,905 = 144,517,905 : x
  2. Step 2: Convert to fraction form
    66,692,448/144,517,905 = 144,517,905/x
  3. Step 3: Cross multiply
    66,692,448x = 144,517,905 × 144,517,905
  4. Step 4: Simplify right side
    66,692,448x = 20,885,424,865,589,024
  5. Step 5: Solve for x
    x = 20,885,424,865,589,024/66,692,448
  6. Step 6: Final answer
    x = 313,160,267.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.