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Finding the Third Proportional to 280,572 and 423,774

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Solution

The third proportional to 280,572 and 423,774 is: 640,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,572 : 423,774 = 423,774 : x
  2. Step 2: Convert to fraction form
    280,572/423,774 = 423,774/x
  3. Step 3: Cross multiply
    280,572x = 423,774 × 423,774
  4. Step 4: Simplify right side
    280,572x = 179,584,403,076
  5. Step 5: Solve for x
    x = 179,584,403,076/280,572
  6. Step 6: Final answer
    x = 640,065.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.