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Finding the Third Proportional to 78,637,330,344 and 173,303,452,770

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Solution

The third proportional to 78,637,330,344 and 173,303,452,770 is: 381,931,667,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637,330,344 : 173,303,452,770 = 173,303,452,770 : x
  2. Step 2: Convert to fraction form
    78,637,330,344/173,303,452,770 = 173,303,452,770/x
  3. Step 3: Cross multiply
    78,637,330,344x = 173,303,452,770 × 173,303,452,770
  4. Step 4: Simplify right side
    78,637,330,344x = 30,034,086,742,003,621,560,320
  5. Step 5: Solve for x
    x = 30,034,086,742,003,621,560,320/78,637,330,344
  6. Step 6: Final answer
    x = 381,931,667,957.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.