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Finding the Third Proportional to 7,239,886.31 and 10,638,213.47

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Solution

The third proportional to 7,239,886.31 and 10,638,213.47 is: 15,631,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239,886.31 : 10,638,213.47 = 10,638,213.47 : x
  2. Step 2: Convert to fraction form
    7,239,886.31/10,638,213.47 = 10,638,213.47/x
  3. Step 3: Cross multiply
    7,239,886.31x = 10,638,213.47 × 10,638,213.47
  4. Step 4: Simplify right side
    7,239,886.31x = 113,171,585,806,693.91
  5. Step 5: Solve for x
    x = 113,171,585,806,693.91/7,239,886.31
  6. Step 6: Final answer
    x = 15,631,679.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.