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Finding the Third Proportional to 410,361 and 630,365

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Solution

The third proportional to 410,361 and 630,365 is: 968,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,361 : 630,365 = 630,365 : x
  2. Step 2: Convert to fraction form
    410,361/630,365 = 630,365/x
  3. Step 3: Cross multiply
    410,361x = 630,365 × 630,365
  4. Step 4: Simplify right side
    410,361x = 397,360,033,225
  5. Step 5: Solve for x
    x = 397,360,033,225/410,361
  6. Step 6: Final answer
    x = 968,318.22

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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.