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Finding the Third Proportional to 86,770,574 and 115,157,409

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Solution

The third proportional to 86,770,574 and 115,157,409 is: 152,830,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770,574 : 115,157,409 = 115,157,409 : x
  2. Step 2: Convert to fraction form
    86,770,574/115,157,409 = 115,157,409/x
  3. Step 3: Cross multiply
    86,770,574x = 115,157,409 × 115,157,409
  4. Step 4: Simplify right side
    86,770,574x = 13,261,228,847,593,280
  5. Step 5: Solve for x
    x = 13,261,228,847,593,280/86,770,574
  6. Step 6: Final answer
    x = 152,830,945.29

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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.