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Finding the Third Proportional to 235,522 and 515,830

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Solution

The third proportional to 235,522 and 515,830 is: 1,129,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,522 : 515,830 = 515,830 : x
  2. Step 2: Convert to fraction form
    235,522/515,830 = 515,830/x
  3. Step 3: Cross multiply
    235,522x = 515,830 × 515,830
  4. Step 4: Simplify right side
    235,522x = 266,080,588,900
  5. Step 5: Solve for x
    x = 266,080,588,900/235,522
  6. Step 6: Final answer
    x = 1,129,748.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.