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Finding the Third Proportional to 410,356 and 630,357

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Solution

The third proportional to 410,356 and 630,357 is: 968,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,356 : 630,357 = 630,357 : x
  2. Step 2: Convert to fraction form
    410,356/630,357 = 630,357/x
  3. Step 3: Cross multiply
    410,356x = 630,357 × 630,357
  4. Step 4: Simplify right side
    410,356x = 397,349,947,449
  5. Step 5: Solve for x
    x = 397,349,947,449/410,356
  6. Step 6: Final answer
    x = 968,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.