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Finding the Third Proportional to 35,333,568 and 77,641,915.50

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Solution

The third proportional to 35,333,568 and 77,641,915.50 is: 170,610,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333,568 : 77,641,915.50 = 77,641,915.50 : x
  2. Step 2: Convert to fraction form
    35,333,568/77,641,915.50 = 77,641,915.50/x
  3. Step 3: Cross multiply
    35,333,568x = 77,641,915.50 × 77,641,915.50
  4. Step 4: Simplify right side
    35,333,568x = 6,028,267,042,509,140
  5. Step 5: Solve for x
    x = 6,028,267,042,509,140/35,333,568
  6. Step 6: Final answer
    x = 170,610,198.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.