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Finding the Third Proportional to 51,668,992 and 121,798,240

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Solution

The third proportional to 51,668,992 and 121,798,240 is: 287,112,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,668,992 : 121,798,240 = 121,798,240 : x
  2. Step 2: Convert to fraction form
    51,668,992/121,798,240 = 121,798,240/x
  3. Step 3: Cross multiply
    51,668,992x = 121,798,240 × 121,798,240
  4. Step 4: Simplify right side
    51,668,992x = 14,834,811,267,097,600
  5. Step 5: Solve for x
    x = 14,834,811,267,097,600/51,668,992
  6. Step 6: Final answer
    x = 287,112,457.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.