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Finding the Third Proportional to 10,660,424 and 15,193,272

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Solution

The third proportional to 10,660,424 and 15,193,272 is: 21,653,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660,424 : 15,193,272 = 15,193,272 : x
  2. Step 2: Convert to fraction form
    10,660,424/15,193,272 = 15,193,272/x
  3. Step 3: Cross multiply
    10,660,424x = 15,193,272 × 15,193,272
  4. Step 4: Simplify right side
    10,660,424x = 230,835,514,065,984
  5. Step 5: Solve for x
    x = 230,835,514,065,984/10,660,424
  6. Step 6: Final answer
    x = 21,653,502.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.