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Finding the Third Proportional to 254,274.75 and 393,967.13

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Solution

The third proportional to 254,274.75 and 393,967.13 is: 610,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,274.75 : 393,967.13 = 393,967.13 : x
  2. Step 2: Convert to fraction form
    254,274.75/393,967.13 = 393,967.13/x
  3. Step 3: Cross multiply
    254,274.75x = 393,967.13 × 393,967.13
  4. Step 4: Simplify right side
    254,274.75x = 155,210,095,580.77
  5. Step 5: Solve for x
    x = 155,210,095,580.77/254,274.75
  6. Step 6: Final answer
    x = 610,403.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.