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Finding the Third Proportional to 538,904 and 830,820

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Solution

The third proportional to 538,904 and 830,820 is: 1,280,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,904 : 830,820 = 830,820 : x
  2. Step 2: Convert to fraction form
    538,904/830,820 = 830,820/x
  3. Step 3: Cross multiply
    538,904x = 830,820 × 830,820
  4. Step 4: Simplify right side
    538,904x = 690,261,872,400
  5. Step 5: Solve for x
    x = 690,261,872,400/538,904
  6. Step 6: Final answer
    x = 1,280,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.