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Finding the Third Proportional to 390,102.75 and 612,110.25

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Solution

The third proportional to 390,102.75 and 612,110.25 is: 960,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,102.75 : 612,110.25 = 612,110.25 : x
  2. Step 2: Convert to fraction form
    390,102.75/612,110.25 = 612,110.25/x
  3. Step 3: Cross multiply
    390,102.75x = 612,110.25 × 612,110.25
  4. Step 4: Simplify right side
    390,102.75x = 374,678,958,155.06
  5. Step 5: Solve for x
    x = 374,678,958,155.06/390,102.75
  6. Step 6: Final answer
    x = 960,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.