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Finding the Third Proportional to 386,388 and 837,128.50

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Solution

The third proportional to 386,388 and 837,128.50 is: 1,813,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,388 : 837,128.50 = 837,128.50 : x
  2. Step 2: Convert to fraction form
    386,388/837,128.50 = 837,128.50/x
  3. Step 3: Cross multiply
    386,388x = 837,128.50 × 837,128.50
  4. Step 4: Simplify right side
    386,388x = 700,784,125,512.25
  5. Step 5: Solve for x
    x = 700,784,125,512.25/386,388
  6. Step 6: Final answer
    x = 1,813,679.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.