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Finding the Third Proportional to 878,963 and 1,320,784.50

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Solution

The third proportional to 878,963 and 1,320,784.50 is: 1,984,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,963 : 1,320,784.50 = 1,320,784.50 : x
  2. Step 2: Convert to fraction form
    878,963/1,320,784.50 = 1,320,784.50/x
  3. Step 3: Cross multiply
    878,963x = 1,320,784.50 × 1,320,784.50
  4. Step 4: Simplify right side
    878,963x = 1,744,471,695,440.25
  5. Step 5: Solve for x
    x = 1,744,471,695,440.25/878,963
  6. Step 6: Final answer
    x = 1,984,692.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.