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Finding the Third Proportional to 86,770,546 and 115,157,373

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Solution

The third proportional to 86,770,546 and 115,157,373 is: 152,830,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770,546 : 115,157,373 = 115,157,373 : x
  2. Step 2: Convert to fraction form
    86,770,546/115,157,373 = 115,157,373/x
  3. Step 3: Cross multiply
    86,770,546x = 115,157,373 × 115,157,373
  4. Step 4: Simplify right side
    86,770,546x = 13,261,220,556,261,128
  5. Step 5: Solve for x
    x = 13,261,220,556,261,128/86,770,546
  6. Step 6: Final answer
    x = 152,830,899.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.