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Finding the Third Proportional to 78,637,332,712 and 173,303,458,640

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Solution

The third proportional to 78,637,332,712 and 173,303,458,640 is: 381,931,682,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637,332,712 : 173,303,458,640 = 173,303,458,640 : x
  2. Step 2: Convert to fraction form
    78,637,332,712/173,303,458,640 = 173,303,458,640/x
  3. Step 3: Cross multiply
    78,637,332,712x = 173,303,458,640 × 173,303,458,640
  4. Step 4: Simplify right side
    78,637,332,712x = 30,034,088,776,586,189,864,960
  5. Step 5: Solve for x
    x = 30,034,088,776,586,189,864,960/78,637,332,712
  6. Step 6: Final answer
    x = 381,931,682,329.34

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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.