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Finding the Third Proportional to 871,812 and 1,308,588

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Solution

The third proportional to 871,812 and 1,308,588 is: 1,964,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,812 : 1,308,588 = 1,308,588 : x
  2. Step 2: Convert to fraction form
    871,812/1,308,588 = 1,308,588/x
  3. Step 3: Cross multiply
    871,812x = 1,308,588 × 1,308,588
  4. Step 4: Simplify right side
    871,812x = 1,712,402,553,744
  5. Step 5: Solve for x
    x = 1,712,402,553,744/871,812
  6. Step 6: Final answer
    x = 1,964,187.87

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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.