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Finding the Third Proportional to 363,386 and 509,213

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Solution

The third proportional to 363,386 and 509,213 is: 713,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,386 : 509,213 = 509,213 : x
  2. Step 2: Convert to fraction form
    363,386/509,213 = 509,213/x
  3. Step 3: Cross multiply
    363,386x = 509,213 × 509,213
  4. Step 4: Simplify right side
    363,386x = 259,297,879,369
  5. Step 5: Solve for x
    x = 259,297,879,369/363,386
  6. Step 6: Final answer
    x = 713,560.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.