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Finding the Third Proportional to 917,210 and 1,321,125

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Solution

The third proportional to 917,210 and 1,321,125 is: 1,902,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,210 : 1,321,125 = 1,321,125 : x
  2. Step 2: Convert to fraction form
    917,210/1,321,125 = 1,321,125/x
  3. Step 3: Cross multiply
    917,210x = 1,321,125 × 1,321,125
  4. Step 4: Simplify right side
    917,210x = 1,745,371,265,625
  5. Step 5: Solve for x
    x = 1,745,371,265,625/917,210
  6. Step 6: Final answer
    x = 1,902,913.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.