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Finding the Third Proportional to 387,813 and 542,433

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Solution

The third proportional to 387,813 and 542,433 is: 758,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,813 : 542,433 = 542,433 : x
  2. Step 2: Convert to fraction form
    387,813/542,433 = 542,433/x
  3. Step 3: Cross multiply
    387,813x = 542,433 × 542,433
  4. Step 4: Simplify right side
    387,813x = 294,233,559,489
  5. Step 5: Solve for x
    x = 294,233,559,489/387,813
  6. Step 6: Final answer
    x = 758,699.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.