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Finding the Third Proportional to 538,908 and 830,826

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Solution

The third proportional to 538,908 and 830,826 is: 1,280,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908 : 830,826 = 830,826 : x
  2. Step 2: Convert to fraction form
    538,908/830,826 = 830,826/x
  3. Step 3: Cross multiply
    538,908x = 830,826 × 830,826
  4. Step 4: Simplify right side
    538,908x = 690,271,842,276
  5. Step 5: Solve for x
    x = 690,271,842,276/538,908
  6. Step 6: Final answer
    x = 1,280,871.40

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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.