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Finding the Third Proportional to 531,430 and 789,577

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Solution

The third proportional to 531,430 and 789,577 is: 1,173,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,430 : 789,577 = 789,577 : x
  2. Step 2: Convert to fraction form
    531,430/789,577 = 789,577/x
  3. Step 3: Cross multiply
    531,430x = 789,577 × 789,577
  4. Step 4: Simplify right side
    531,430x = 623,431,838,929
  5. Step 5: Solve for x
    x = 623,431,838,929/531,430
  6. Step 6: Final answer
    x = 1,173,121.27

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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.