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Finding the Third Proportional to 539,904 and 858,080

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Solution

The third proportional to 539,904 and 858,080 is: 1,363,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,904 : 858,080 = 858,080 : x
  2. Step 2: Convert to fraction form
    539,904/858,080 = 858,080/x
  3. Step 3: Cross multiply
    539,904x = 858,080 × 858,080
  4. Step 4: Simplify right side
    539,904x = 736,301,286,400
  5. Step 5: Solve for x
    x = 736,301,286,400/539,904
  6. Step 6: Final answer
    x = 1,363,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.