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Finding the Third Proportional to 410,357 and 630,359

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Solution

The third proportional to 410,357 and 630,359 is: 968,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,357 : 630,359 = 630,359 : x
  2. Step 2: Convert to fraction form
    410,357/630,359 = 630,359/x
  3. Step 3: Cross multiply
    410,357x = 630,359 × 630,359
  4. Step 4: Simplify right side
    410,357x = 397,352,468,881
  5. Step 5: Solve for x
    x = 397,352,468,881/410,357
  6. Step 6: Final answer
    x = 968,309.23

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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.