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Finding the Third Proportional to 7,145,457 and 15,212,646

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Solution

The third proportional to 7,145,457 and 15,212,646 is: 32,387,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145,457 : 15,212,646 = 15,212,646 : x
  2. Step 2: Convert to fraction form
    7,145,457/15,212,646 = 15,212,646/x
  3. Step 3: Cross multiply
    7,145,457x = 15,212,646 × 15,212,646
  4. Step 4: Simplify right side
    7,145,457x = 231,424,598,321,316
  5. Step 5: Solve for x
    x = 231,424,598,321,316/7,145,457
  6. Step 6: Final answer
    x = 32,387,655.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.