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Finding the Third Proportional to 559,320 and 839,040

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Solution

The third proportional to 559,320 and 839,040 is: 1,258,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,320 : 839,040 = 839,040 : x
  2. Step 2: Convert to fraction form
    559,320/839,040 = 839,040/x
  3. Step 3: Cross multiply
    559,320x = 839,040 × 839,040
  4. Step 4: Simplify right side
    559,320x = 703,988,121,600
  5. Step 5: Solve for x
    x = 703,988,121,600/559,320
  6. Step 6: Final answer
    x = 1,258,650.01

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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.