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Finding the Third Proportional to 378,492.75 and 562,271.63

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Solution

The third proportional to 378,492.75 and 562,271.63 is: 835,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,492.75 : 562,271.63 = 562,271.63 : x
  2. Step 2: Convert to fraction form
    378,492.75/562,271.63 = 562,271.63/x
  3. Step 3: Cross multiply
    378,492.75x = 562,271.63 × 562,271.63
  4. Step 4: Simplify right side
    378,492.75x = 316,149,380,280.14
  5. Step 5: Solve for x
    x = 316,149,380,280.14/378,492.75
  6. Step 6: Final answer
    x = 835,285.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.