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Finding the Third Proportional to 315,726 and 482,987

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Solution

The third proportional to 315,726 and 482,987 is: 738,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726 : 482,987 = 482,987 : x
  2. Step 2: Convert to fraction form
    315,726/482,987 = 482,987/x
  3. Step 3: Cross multiply
    315,726x = 482,987 × 482,987
  4. Step 4: Simplify right side
    315,726x = 233,276,442,169
  5. Step 5: Solve for x
    x = 233,276,442,169/315,726
  6. Step 6: Final answer
    x = 738,857.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.