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Finding the Third Proportional to 675,684 and 909,654

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Solution

The third proportional to 675,684 and 909,654 is: 1,224,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,684 : 909,654 = 909,654 : x
  2. Step 2: Convert to fraction form
    675,684/909,654 = 909,654/x
  3. Step 3: Cross multiply
    675,684x = 909,654 × 909,654
  4. Step 4: Simplify right side
    675,684x = 827,470,399,716
  5. Step 5: Solve for x
    x = 827,470,399,716/675,684
  6. Step 6: Final answer
    x = 1,224,641.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.