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Finding the Third Proportional to 666,234 and 874,710

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Solution

The third proportional to 666,234 and 874,710 is: 1,148,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,234 : 874,710 = 874,710 : x
  2. Step 2: Convert to fraction form
    666,234/874,710 = 874,710/x
  3. Step 3: Cross multiply
    666,234x = 874,710 × 874,710
  4. Step 4: Simplify right side
    666,234x = 765,117,584,100
  5. Step 5: Solve for x
    x = 765,117,584,100/666,234
  6. Step 6: Final answer
    x = 1,148,421.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.