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Finding the Third Proportional to 358,290 and 535,563

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Solution

The third proportional to 358,290 and 535,563 is: 800,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,290 : 535,563 = 535,563 : x
  2. Step 2: Convert to fraction form
    358,290/535,563 = 535,563/x
  3. Step 3: Cross multiply
    358,290x = 535,563 × 535,563
  4. Step 4: Simplify right side
    358,290x = 286,827,726,969
  5. Step 5: Solve for x
    x = 286,827,726,969/358,290
  6. Step 6: Final answer
    x = 800,546.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.