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Finding the Third Proportional to 342,878.06 and 788,575.50

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Solution

The third proportional to 342,878.06 and 788,575.50 is: 1,813,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,878.06 : 788,575.50 = 788,575.50 : x
  2. Step 2: Convert to fraction form
    342,878.06/788,575.50 = 788,575.50/x
  3. Step 3: Cross multiply
    342,878.06x = 788,575.50 × 788,575.50
  4. Step 4: Simplify right side
    342,878.06x = 621,851,319,200.25
  5. Step 5: Solve for x
    x = 621,851,319,200.25/342,878.06
  6. Step 6: Final answer
    x = 1,813,622.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.