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Finding the Third Proportional to 253,707.19 and 391,495.78

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Solution

The third proportional to 253,707.19 and 391,495.78 is: 604,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,707.19 : 391,495.78 = 391,495.78 : x
  2. Step 2: Convert to fraction form
    253,707.19/391,495.78 = 391,495.78/x
  3. Step 3: Cross multiply
    253,707.19x = 391,495.78 × 391,495.78
  4. Step 4: Simplify right side
    253,707.19x = 153,268,946,736.55
  5. Step 5: Solve for x
    x = 153,268,946,736.55/253,707.19
  6. Step 6: Final answer
    x = 604,117.48

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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.