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Finding the Third Proportional to 359,249 and 499,507

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Solution

The third proportional to 359,249 and 499,507 is: 694,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,249 : 499,507 = 499,507 : x
  2. Step 2: Convert to fraction form
    359,249/499,507 = 499,507/x
  3. Step 3: Cross multiply
    359,249x = 499,507 × 499,507
  4. Step 4: Simplify right side
    359,249x = 249,507,243,049
  5. Step 5: Solve for x
    x = 249,507,243,049/359,249
  6. Step 6: Final answer
    x = 694,524.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.