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Finding the Third Proportional to 515,148 and 788,019.75

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Solution

The third proportional to 515,148 and 788,019.75 is: 1,205,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,148 : 788,019.75 = 788,019.75 : x
  2. Step 2: Convert to fraction form
    515,148/788,019.75 = 788,019.75/x
  3. Step 3: Cross multiply
    515,148x = 788,019.75 × 788,019.75
  4. Step 4: Simplify right side
    515,148x = 620,975,126,390.06
  5. Step 5: Solve for x
    x = 620,975,126,390.06/515,148
  6. Step 6: Final answer
    x = 1,205,430.53

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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.