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Finding the Third Proportional to 280,404 and 607,440

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Solution

The third proportional to 280,404 and 607,440 is: 1,315,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,404 : 607,440 = 607,440 : x
  2. Step 2: Convert to fraction form
    280,404/607,440 = 607,440/x
  3. Step 3: Cross multiply
    280,404x = 607,440 × 607,440
  4. Step 4: Simplify right side
    280,404x = 368,983,353,600
  5. Step 5: Solve for x
    x = 368,983,353,600/280,404
  6. Step 6: Final answer
    x = 1,315,899.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.