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Finding the Third Proportional to 871,650 and 1,307,430

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Solution

The third proportional to 871,650 and 1,307,430 is: 1,961,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,650 : 1,307,430 = 1,307,430 : x
  2. Step 2: Convert to fraction form
    871,650/1,307,430 = 1,307,430/x
  3. Step 3: Cross multiply
    871,650x = 1,307,430 × 1,307,430
  4. Step 4: Simplify right side
    871,650x = 1,709,373,204,900
  5. Step 5: Solve for x
    x = 1,709,373,204,900/871,650
  6. Step 6: Final answer
    x = 1,961,077.50

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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.