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Finding the Third Proportional to 83,496,381.75 and 113,270,409

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Solution

The third proportional to 83,496,381.75 and 113,270,409 is: 153,661,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496,381.75 : 113,270,409 = 113,270,409 : x
  2. Step 2: Convert to fraction form
    83,496,381.75/113,270,409 = 113,270,409/x
  3. Step 3: Cross multiply
    83,496,381.75x = 113,270,409 × 113,270,409
  4. Step 4: Simplify right side
    83,496,381.75x = 12,830,185,555,027,280
  5. Step 5: Solve for x
    x = 12,830,185,555,027,280/83,496,381.75
  6. Step 6: Final answer
    x = 153,661,575.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.