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Finding the Third Proportional to 294,129 and 644,328

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Solution

The third proportional to 294,129 and 644,328 is: 1,411,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,129 : 644,328 = 644,328 : x
  2. Step 2: Convert to fraction form
    294,129/644,328 = 644,328/x
  3. Step 3: Cross multiply
    294,129x = 644,328 × 644,328
  4. Step 4: Simplify right side
    294,129x = 415,158,571,584
  5. Step 5: Solve for x
    x = 415,158,571,584/294,129
  6. Step 6: Final answer
    x = 1,411,484.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.