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Finding the Third Proportional to 264,471 and 402,902.25

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Solution

The third proportional to 264,471 and 402,902.25 is: 613,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,471 : 402,902.25 = 402,902.25 : x
  2. Step 2: Convert to fraction form
    264,471/402,902.25 = 402,902.25/x
  3. Step 3: Cross multiply
    264,471x = 402,902.25 × 402,902.25
  4. Step 4: Simplify right side
    264,471x = 162,330,223,055.06
  5. Step 5: Solve for x
    x = 162,330,223,055.06/264,471
  6. Step 6: Final answer
    x = 613,792.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.