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Finding the Third Proportional to 598,509 and 807,489

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Solution

The third proportional to 598,509 and 807,489 is: 1,089,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,509 : 807,489 = 807,489 : x
  2. Step 2: Convert to fraction form
    598,509/807,489 = 807,489/x
  3. Step 3: Cross multiply
    598,509x = 807,489 × 807,489
  4. Step 4: Simplify right side
    598,509x = 652,038,485,121
  5. Step 5: Solve for x
    x = 652,038,485,121/598,509
  6. Step 6: Final answer
    x = 1,089,438.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.