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Finding the Third Proportional to 354,660 and 542,595

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Solution

The third proportional to 354,660 and 542,595 is: 830,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,660 : 542,595 = 542,595 : x
  2. Step 2: Convert to fraction form
    354,660/542,595 = 542,595/x
  3. Step 3: Cross multiply
    354,660x = 542,595 × 542,595
  4. Step 4: Simplify right side
    354,660x = 294,409,334,025
  5. Step 5: Solve for x
    x = 294,409,334,025/354,660
  6. Step 6: Final answer
    x = 830,117.11

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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.