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Finding the Third Proportional to 118,301,793,640 and 263,054,180,040

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Solution

The third proportional to 118,301,793,640 and 263,054,180,040 is: 584,923,520,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,301,793,640 : 263,054,180,040 = 263,054,180,040 : x
  2. Step 2: Convert to fraction form
    118,301,793,640/263,054,180,040 = 263,054,180,040/x
  3. Step 3: Cross multiply
    118,301,793,640x = 263,054,180,040 × 263,054,180,040
  4. Step 4: Simplify right side
    118,301,793,640x = 69,197,501,636,516,736,139,264
  5. Step 5: Solve for x
    x = 69,197,501,636,516,736,139,264/118,301,793,640
  6. Step 6: Final answer
    x = 584,923,520,661.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.