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Finding the Third Proportional to 1,287,428,647.50 and 2,780,672,539.50

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Solution

The third proportional to 1,287,428,647.50 and 2,780,672,539.50 is: 6,005,878,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,428,647.50 : 2,780,672,539.50 = 2,780,672,539.50 : x
  2. Step 2: Convert to fraction form
    1,287,428,647.50/2,780,672,539.50 = 2,780,672,539.50/x
  3. Step 3: Cross multiply
    1,287,428,647.50x = 2,780,672,539.50 × 2,780,672,539.50
  4. Step 4: Simplify right side
    1,287,428,647.50x = 7,732,139,771,929,378,816
  5. Step 5: Solve for x
    x = 7,732,139,771,929,378,816/1,287,428,647.50
  6. Step 6: Final answer
    x = 6,005,878,296.20

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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.