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Finding the Third Proportional to 10,509,318 and 15,839,149.50

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Solution

The third proportional to 10,509,318 and 15,839,149.50 is: 23,872,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,318 : 15,839,149.50 = 15,839,149.50 : x
  2. Step 2: Convert to fraction form
    10,509,318/15,839,149.50 = 15,839,149.50/x
  3. Step 3: Cross multiply
    10,509,318x = 15,839,149.50 × 15,839,149.50
  4. Step 4: Simplify right side
    10,509,318x = 250,878,656,883,350.25
  5. Step 5: Solve for x
    x = 250,878,656,883,350.25/10,509,318
  6. Step 6: Final answer
    x = 23,872,020.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.