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Finding the Third Proportional to 390,981.94 and 856,691.44

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Solution

The third proportional to 390,981.94 and 856,691.44 is: 1,877,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,981.94 : 856,691.44 = 856,691.44 : x
  2. Step 2: Convert to fraction form
    390,981.94/856,691.44 = 856,691.44/x
  3. Step 3: Cross multiply
    390,981.94x = 856,691.44 × 856,691.44
  4. Step 4: Simplify right side
    390,981.94x = 733,920,219,085.82
  5. Step 5: Solve for x
    x = 733,920,219,085.82/390,981.94
  6. Step 6: Final answer
    x = 1,877,120.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.