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Finding the Third Proportional to 280,320 and 437,184

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Solution

The third proportional to 280,320 and 437,184 is: 681,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,320 : 437,184 = 437,184 : x
  2. Step 2: Convert to fraction form
    280,320/437,184 = 437,184/x
  3. Step 3: Cross multiply
    280,320x = 437,184 × 437,184
  4. Step 4: Simplify right side
    280,320x = 191,129,849,856
  5. Step 5: Solve for x
    x = 191,129,849,856/280,320
  6. Step 6: Final answer
    x = 681,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.