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Finding the Third Proportional to 710,678 and 939,009

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Solution

The third proportional to 710,678 and 939,009 is: 1,240,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,678 : 939,009 = 939,009 : x
  2. Step 2: Convert to fraction form
    710,678/939,009 = 939,009/x
  3. Step 3: Cross multiply
    710,678x = 939,009 × 939,009
  4. Step 4: Simplify right side
    710,678x = 881,737,902,081
  5. Step 5: Solve for x
    x = 881,737,902,081/710,678
  6. Step 6: Final answer
    x = 1,240,699.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.