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Finding the Third Proportional to 415,303 and 909,230

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Solution

The third proportional to 415,303 and 909,230 is: 1,990,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,303 : 909,230 = 909,230 : x
  2. Step 2: Convert to fraction form
    415,303/909,230 = 909,230/x
  3. Step 3: Cross multiply
    415,303x = 909,230 × 909,230
  4. Step 4: Simplify right side
    415,303x = 826,699,192,900
  5. Step 5: Solve for x
    x = 826,699,192,900/415,303
  6. Step 6: Final answer
    x = 1,990,592.88

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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.