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Finding the Third Proportional to 66,943,920 and 103,445,406

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Solution

The third proportional to 66,943,920 and 103,445,406 is: 159,849,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943,920 : 103,445,406 = 103,445,406 : x
  2. Step 2: Convert to fraction form
    66,943,920/103,445,406 = 103,445,406/x
  3. Step 3: Cross multiply
    66,943,920x = 103,445,406 × 103,445,406
  4. Step 4: Simplify right side
    66,943,920x = 10,700,952,022,504,836
  5. Step 5: Solve for x
    x = 10,700,952,022,504,836/66,943,920
  6. Step 6: Final answer
    x = 159,849,498.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.