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Finding the Third Proportional to 51,108,813.63 and 111,584,274.89

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Solution

The third proportional to 51,108,813.63 and 111,584,274.89 is: 243,618,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108,813.63 : 111,584,274.89 = 111,584,274.89 : x
  2. Step 2: Convert to fraction form
    51,108,813.63/111,584,274.89 = 111,584,274.89/x
  3. Step 3: Cross multiply
    51,108,813.63x = 111,584,274.89 × 111,584,274.89
  4. Step 4: Simplify right side
    51,108,813.63x = 12,451,050,402,865,448
  5. Step 5: Solve for x
    x = 12,451,050,402,865,448/51,108,813.63
  6. Step 6: Final answer
    x = 243,618,458.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.