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Finding the Third Proportional to 142,612,170 and 312,564,027

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Solution

The third proportional to 142,612,170 and 312,564,027 is: 685,048,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612,170 : 312,564,027 = 312,564,027 : x
  2. Step 2: Convert to fraction form
    142,612,170/312,564,027 = 312,564,027/x
  3. Step 3: Cross multiply
    142,612,170x = 312,564,027 × 312,564,027
  4. Step 4: Simplify right side
    142,612,170x = 97,696,270,974,456,736
  5. Step 5: Solve for x
    x = 97,696,270,974,456,736/142,612,170
  6. Step 6: Final answer
    x = 685,048,625.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.