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Finding the Third Proportional to 1,712,614.25 and 3,764,222.50

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Solution

The third proportional to 1,712,614.25 and 3,764,222.50 is: 8,273,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,614.25 : 3,764,222.50 = 3,764,222.50 : x
  2. Step 2: Convert to fraction form
    1,712,614.25/3,764,222.50 = 3,764,222.50/x
  3. Step 3: Cross multiply
    1,712,614.25x = 3,764,222.50 × 3,764,222.50
  4. Step 4: Simplify right side
    1,712,614.25x = 14,169,371,029,506.25
  5. Step 5: Solve for x
    x = 14,169,371,029,506.25/1,712,614.25
  6. Step 6: Final answer
    x = 8,273,533.30

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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.