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Finding the Third Proportional to 363,362 and 520,130

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Solution

The third proportional to 363,362 and 520,130 is: 744,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,362 : 520,130 = 520,130 : x
  2. Step 2: Convert to fraction form
    363,362/520,130 = 520,130/x
  3. Step 3: Cross multiply
    363,362x = 520,130 × 520,130
  4. Step 4: Simplify right side
    363,362x = 270,535,216,900
  5. Step 5: Solve for x
    x = 270,535,216,900/363,362
  6. Step 6: Final answer
    x = 744,533.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.