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Finding the Third Proportional to 531,464 and 789,628

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Solution

The third proportional to 531,464 and 789,628 is: 1,173,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,464 : 789,628 = 789,628 : x
  2. Step 2: Convert to fraction form
    531,464/789,628 = 789,628/x
  3. Step 3: Cross multiply
    531,464x = 789,628 × 789,628
  4. Step 4: Simplify right side
    531,464x = 623,512,378,384
  5. Step 5: Solve for x
    x = 623,512,378,384/531,464
  6. Step 6: Final answer
    x = 1,173,197.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.