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Finding the Third Proportional to 1,100,214 and 1,683,013.50

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Solution

The third proportional to 1,100,214 and 1,683,013.50 is: 2,574,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,214 : 1,683,013.50 = 1,683,013.50 : x
  2. Step 2: Convert to fraction form
    1,100,214/1,683,013.50 = 1,683,013.50/x
  3. Step 3: Cross multiply
    1,100,214x = 1,683,013.50 × 1,683,013.50
  4. Step 4: Simplify right side
    1,100,214x = 2,832,534,441,182.25
  5. Step 5: Solve for x
    x = 2,832,534,441,182.25/1,100,214
  6. Step 6: Final answer
    x = 2,574,530.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.