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Finding the Third Proportional to 669,984 and 909,786

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Solution

The third proportional to 669,984 and 909,786 is: 1,235,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,984 : 909,786 = 909,786 : x
  2. Step 2: Convert to fraction form
    669,984/909,786 = 909,786/x
  3. Step 3: Cross multiply
    669,984x = 909,786 × 909,786
  4. Step 4: Simplify right side
    669,984x = 827,710,565,796
  5. Step 5: Solve for x
    x = 827,710,565,796/669,984
  6. Step 6: Final answer
    x = 1,235,418.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.