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Finding the Third Proportional to 270,280 and 423,984

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Solution

The third proportional to 270,280 and 423,984 is: 665,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,280 : 423,984 = 423,984 : x
  2. Step 2: Convert to fraction form
    270,280/423,984 = 423,984/x
  3. Step 3: Cross multiply
    270,280x = 423,984 × 423,984
  4. Step 4: Simplify right side
    270,280x = 179,762,432,256
  5. Step 5: Solve for x
    x = 179,762,432,256/270,280
  6. Step 6: Final answer
    x = 665,097.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.