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Finding the Third Proportional to 359,017 and 545,986

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Solution

The third proportional to 359,017 and 545,986 is: 830,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,017 : 545,986 = 545,986 : x
  2. Step 2: Convert to fraction form
    359,017/545,986 = 545,986/x
  3. Step 3: Cross multiply
    359,017x = 545,986 × 545,986
  4. Step 4: Simplify right side
    359,017x = 298,100,712,196
  5. Step 5: Solve for x
    x = 298,100,712,196/359,017
  6. Step 6: Final answer
    x = 830,324.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.