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Finding the Third Proportional to 235,513 and 515,813

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Solution

The third proportional to 235,513 and 515,813 is: 1,129,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,513 : 515,813 = 515,813 : x
  2. Step 2: Convert to fraction form
    235,513/515,813 = 515,813/x
  3. Step 3: Cross multiply
    235,513x = 515,813 × 515,813
  4. Step 4: Simplify right side
    235,513x = 266,063,050,969
  5. Step 5: Solve for x
    x = 266,063,050,969/235,513
  6. Step 6: Final answer
    x = 1,129,717.05

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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.