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Finding the Third Proportional to 591,480 and 909,156

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Solution

The third proportional to 591,480 and 909,156 is: 1,397,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,480 : 909,156 = 909,156 : x
  2. Step 2: Convert to fraction form
    591,480/909,156 = 909,156/x
  3. Step 3: Cross multiply
    591,480x = 909,156 × 909,156
  4. Step 4: Simplify right side
    591,480x = 826,564,632,336
  5. Step 5: Solve for x
    x = 826,564,632,336/591,480
  6. Step 6: Final answer
    x = 1,397,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.