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Finding the Third Proportional to 871,767 and 1,320,688.50

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Solution

The third proportional to 871,767 and 1,320,688.50 is: 2,000,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,767 : 1,320,688.50 = 1,320,688.50 : x
  2. Step 2: Convert to fraction form
    871,767/1,320,688.50 = 1,320,688.50/x
  3. Step 3: Cross multiply
    871,767x = 1,320,688.50 × 1,320,688.50
  4. Step 4: Simplify right side
    871,767x = 1,744,218,114,032.25
  5. Step 5: Solve for x
    x = 1,744,218,114,032.25/871,767
  6. Step 6: Final answer
    x = 2,000,784.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.