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Finding the Third Proportional to 871,830 and 1,312,773

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Solution

The third proportional to 871,830 and 1,312,773 is: 1,976,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,830 : 1,312,773 = 1,312,773 : x
  2. Step 2: Convert to fraction form
    871,830/1,312,773 = 1,312,773/x
  3. Step 3: Cross multiply
    871,830x = 1,312,773 × 1,312,773
  4. Step 4: Simplify right side
    871,830x = 1,723,372,949,529
  5. Step 5: Solve for x
    x = 1,723,372,949,529/871,830
  6. Step 6: Final answer
    x = 1,976,730.50

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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.