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Finding the Third Proportional to 402,026 and 545,987

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Solution

The third proportional to 402,026 and 545,987 is: 741,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,026 : 545,987 = 545,987 : x
  2. Step 2: Convert to fraction form
    402,026/545,987 = 545,987/x
  3. Step 3: Cross multiply
    402,026x = 545,987 × 545,987
  4. Step 4: Simplify right side
    402,026x = 298,101,804,169
  5. Step 5: Solve for x
    x = 298,101,804,169/402,026
  6. Step 6: Final answer
    x = 741,498.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.