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Finding the Third Proportional to 630,410 and 1,365,828

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Solution

The third proportional to 630,410 and 1,365,828 is: 2,959,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,410 : 1,365,828 = 1,365,828 : x
  2. Step 2: Convert to fraction form
    630,410/1,365,828 = 1,365,828/x
  3. Step 3: Cross multiply
    630,410x = 1,365,828 × 1,365,828
  4. Step 4: Simplify right side
    630,410x = 1,865,486,125,584
  5. Step 5: Solve for x
    x = 1,865,486,125,584/630,410
  6. Step 6: Final answer
    x = 2,959,163.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.