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Finding the Third Proportional to 274,396.36 and 390,037.78

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Solution

The third proportional to 274,396.36 and 390,037.78 is: 554,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,396.36 : 390,037.78 = 390,037.78 : x
  2. Step 2: Convert to fraction form
    274,396.36/390,037.78 = 390,037.78/x
  3. Step 3: Cross multiply
    274,396.36x = 390,037.78 × 390,037.78
  4. Step 4: Simplify right side
    274,396.36x = 152,129,470,802.42
  5. Step 5: Solve for x
    x = 152,129,470,802.42/274,396.36
  6. Step 6: Final answer
    x = 554,415.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.