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Finding the Third Proportional to 355,738 and 542,643

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Solution

The third proportional to 355,738 and 542,643 is: 827,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,738 : 542,643 = 542,643 : x
  2. Step 2: Convert to fraction form
    355,738/542,643 = 542,643/x
  3. Step 3: Cross multiply
    355,738x = 542,643 × 542,643
  4. Step 4: Simplify right side
    355,738x = 294,461,425,449
  5. Step 5: Solve for x
    x = 294,461,425,449/355,738
  6. Step 6: Final answer
    x = 827,748.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.