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Finding the Third Proportional to 80,308,848,006 and 121,496,153,841

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Solution

The third proportional to 80,308,848,006 and 121,496,153,841 is: 183,806,837,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,308,848,006 : 121,496,153,841 = 121,496,153,841 : x
  2. Step 2: Convert to fraction form
    80,308,848,006/121,496,153,841 = 121,496,153,841/x
  3. Step 3: Cross multiply
    80,308,848,006x = 121,496,153,841 × 121,496,153,841
  4. Step 4: Simplify right side
    80,308,848,006x = 14,761,315,398,155,939,872,768
  5. Step 5: Solve for x
    x = 14,761,315,398,155,939,872,768/80,308,848,006
  6. Step 6: Final answer
    x = 183,806,837,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.