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Finding the Third Proportional to 426,360 and 615,963

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Solution

The third proportional to 426,360 and 615,963 is: 889,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,360 : 615,963 = 615,963 : x
  2. Step 2: Convert to fraction form
    426,360/615,963 = 615,963/x
  3. Step 3: Cross multiply
    426,360x = 615,963 × 615,963
  4. Step 4: Simplify right side
    426,360x = 379,410,417,369
  5. Step 5: Solve for x
    x = 379,410,417,369/426,360
  6. Step 6: Final answer
    x = 889,882.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.