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Finding the Third Proportional to 354,639 and 542,562

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Solution

The third proportional to 354,639 and 542,562 is: 830,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,639 : 542,562 = 542,562 : x
  2. Step 2: Convert to fraction form
    354,639/542,562 = 542,562/x
  3. Step 3: Cross multiply
    354,639x = 542,562 × 542,562
  4. Step 4: Simplify right side
    354,639x = 294,373,523,844
  5. Step 5: Solve for x
    x = 294,373,523,844/354,639
  6. Step 6: Final answer
    x = 830,065.29

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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.