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Finding the Third Proportional to 415,300 and 909,224

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Solution

The third proportional to 415,300 and 909,224 is: 1,990,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,300 : 909,224 = 909,224 : x
  2. Step 2: Convert to fraction form
    415,300/909,224 = 909,224/x
  3. Step 3: Cross multiply
    415,300x = 909,224 × 909,224
  4. Step 4: Simplify right side
    415,300x = 826,688,282,176
  5. Step 5: Solve for x
    x = 826,688,282,176/415,300
  6. Step 6: Final answer
    x = 1,990,580.98

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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.