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Finding the Third Proportional to 280,168 and 425,440

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Solution

The third proportional to 280,168 and 425,440 is: 646,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,168 : 425,440 = 425,440 : x
  2. Step 2: Convert to fraction form
    280,168/425,440 = 425,440/x
  3. Step 3: Cross multiply
    280,168x = 425,440 × 425,440
  4. Step 4: Simplify right side
    280,168x = 180,999,193,600
  5. Step 5: Solve for x
    x = 180,999,193,600/280,168
  6. Step 6: Final answer
    x = 646,038.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.