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Finding the Third Proportional to 6,984,148.50 and 10,775,274.75

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Solution

The third proportional to 6,984,148.50 and 10,775,274.75 is: 16,624,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,148.50 : 10,775,274.75 = 10,775,274.75 : x
  2. Step 2: Convert to fraction form
    6,984,148.50/10,775,274.75 = 10,775,274.75/x
  3. Step 3: Cross multiply
    6,984,148.50x = 10,775,274.75 × 10,775,274.75
  4. Step 4: Simplify right side
    6,984,148.50x = 116,106,545,937,987.56
  5. Step 5: Solve for x
    x = 116,106,545,937,987.56/6,984,148.50
  6. Step 6: Final answer
    x = 16,624,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.