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Finding the Third Proportional to 461,688 and 690,678

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Solution

The third proportional to 461,688 and 690,678 is: 1,033,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688 : 690,678 = 690,678 : x
  2. Step 2: Convert to fraction form
    461,688/690,678 = 690,678/x
  3. Step 3: Cross multiply
    461,688x = 690,678 × 690,678
  4. Step 4: Simplify right side
    461,688x = 477,036,099,684
  5. Step 5: Solve for x
    x = 477,036,099,684/461,688
  6. Step 6: Final answer
    x = 1,033,243.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.