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Finding the Third Proportional to 51,836,790 and 111,366,302.25

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Solution

The third proportional to 51,836,790 and 111,366,302.25 is: 239,259,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836,790 : 111,366,302.25 = 111,366,302.25 : x
  2. Step 2: Convert to fraction form
    51,836,790/111,366,302.25 = 111,366,302.25/x
  3. Step 3: Cross multiply
    51,836,790x = 111,366,302.25 × 111,366,302.25
  4. Step 4: Simplify right side
    51,836,790x = 12,402,453,276,838,356
  5. Step 5: Solve for x
    x = 12,402,453,276,838,356/51,836,790
  6. Step 6: Final answer
    x = 239,259,670.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.