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Finding the Third Proportional to 403,042 and 879,944

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Solution

The third proportional to 403,042 and 879,944 is: 1,921,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,042 : 879,944 = 879,944 : x
  2. Step 2: Convert to fraction form
    403,042/879,944 = 879,944/x
  3. Step 3: Cross multiply
    403,042x = 879,944 × 879,944
  4. Step 4: Simplify right side
    403,042x = 774,301,443,136
  5. Step 5: Solve for x
    x = 774,301,443,136/403,042
  6. Step 6: Final answer
    x = 1,921,143.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.