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Finding the Third Proportional to 7,836,309 and 11,872,743.50

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Solution

The third proportional to 7,836,309 and 11,872,743.50 is: 17,988,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,309 : 11,872,743.50 = 11,872,743.50 : x
  2. Step 2: Convert to fraction form
    7,836,309/11,872,743.50 = 11,872,743.50/x
  3. Step 3: Cross multiply
    7,836,309x = 11,872,743.50 × 11,872,743.50
  4. Step 4: Simplify right side
    7,836,309x = 140,962,038,216,792.25
  5. Step 5: Solve for x
    x = 140,962,038,216,792.25/7,836,309
  6. Step 6: Final answer
    x = 17,988,320.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.