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Finding the Third Proportional to 345,039.75 and 750,829.50

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Solution

The third proportional to 345,039.75 and 750,829.50 is: 1,633,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,039.75 : 750,829.50 = 750,829.50 : x
  2. Step 2: Convert to fraction form
    345,039.75/750,829.50 = 750,829.50/x
  3. Step 3: Cross multiply
    345,039.75x = 750,829.50 × 750,829.50
  4. Step 4: Simplify right side
    345,039.75x = 563,744,938,070.25
  5. Step 5: Solve for x
    x = 563,744,938,070.25/345,039.75
  6. Step 6: Final answer
    x = 1,633,855.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.