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Finding the Third Proportional to 368,986 and 553,486

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Solution

The third proportional to 368,986 and 553,486 is: 830,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,986 : 553,486 = 553,486 : x
  2. Step 2: Convert to fraction form
    368,986/553,486 = 553,486/x
  3. Step 3: Cross multiply
    368,986x = 553,486 × 553,486
  4. Step 4: Simplify right side
    368,986x = 306,346,752,196
  5. Step 5: Solve for x
    x = 306,346,752,196/368,986
  6. Step 6: Final answer
    x = 830,239.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.