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Finding the Third Proportional to 109,354,560.75 and 153,820,738.13

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Solution

The third proportional to 109,354,560.75 and 153,820,738.13 is: 216,367,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354,560.75 : 153,820,738.13 = 153,820,738.13 : x
  2. Step 2: Convert to fraction form
    109,354,560.75/153,820,738.13 = 153,820,738.13/x
  3. Step 3: Cross multiply
    109,354,560.75x = 153,820,738.13 × 153,820,738.13
  4. Step 4: Simplify right side
    109,354,560.75x = 23,660,819,477,319,828
  5. Step 5: Solve for x
    x = 23,660,819,477,319,828/109,354,560.75
  6. Step 6: Final answer
    x = 216,367,925.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.