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Finding the Third Proportional to 410,363 and 630,368

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Solution

The third proportional to 410,363 and 630,368 is: 968,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,363 : 630,368 = 630,368 : x
  2. Step 2: Convert to fraction form
    410,363/630,368 = 630,368/x
  3. Step 3: Cross multiply
    410,363x = 630,368 × 630,368
  4. Step 4: Simplify right side
    410,363x = 397,363,815,424
  5. Step 5: Solve for x
    x = 397,363,815,424/410,363
  6. Step 6: Final answer
    x = 968,322.72

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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.