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Finding the Third Proportional to 415,543.50 and 909,909

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Solution

The third proportional to 415,543.50 and 909,909 is: 1,992,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,543.50 : 909,909 = 909,909 : x
  2. Step 2: Convert to fraction form
    415,543.50/909,909 = 909,909/x
  3. Step 3: Cross multiply
    415,543.50x = 909,909 × 909,909
  4. Step 4: Simplify right side
    415,543.50x = 827,934,388,281
  5. Step 5: Solve for x
    x = 827,934,388,281/415,543.50
  6. Step 6: Final answer
    x = 1,992,413.28

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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.