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Finding the Third Proportional to 352,779.75 and 687,820.50

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Solution

The third proportional to 352,779.75 and 687,820.50 is: 1,341,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,779.75 : 687,820.50 = 687,820.50 : x
  2. Step 2: Convert to fraction form
    352,779.75/687,820.50 = 687,820.50/x
  3. Step 3: Cross multiply
    352,779.75x = 687,820.50 × 687,820.50
  4. Step 4: Simplify right side
    352,779.75x = 473,097,040,220.25
  5. Step 5: Solve for x
    x = 473,097,040,220.25/352,779.75
  6. Step 6: Final answer
    x = 1,341,054.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.