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Finding the Third Proportional to 324,402 and 499,308

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Solution

The third proportional to 324,402 and 499,308 is: 768,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,402 : 499,308 = 499,308 : x
  2. Step 2: Convert to fraction form
    324,402/499,308 = 499,308/x
  3. Step 3: Cross multiply
    324,402x = 499,308 × 499,308
  4. Step 4: Simplify right side
    324,402x = 249,308,478,864
  5. Step 5: Solve for x
    x = 249,308,478,864/324,402
  6. Step 6: Final answer
    x = 768,517.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.