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Finding the Third Proportional to 51,631,839 and 111,440,281.50

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Solution

The third proportional to 51,631,839 and 111,440,281.50 is: 240,528,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,631,839 : 111,440,281.50 = 111,440,281.50 : x
  2. Step 2: Convert to fraction form
    51,631,839/111,440,281.50 = 111,440,281.50/x
  3. Step 3: Cross multiply
    51,631,839x = 111,440,281.50 × 111,440,281.50
  4. Step 4: Simplify right side
    51,631,839x = 12,418,936,340,799,242
  5. Step 5: Solve for x
    x = 12,418,936,340,799,242/51,631,839
  6. Step 6: Final answer
    x = 240,528,646.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.