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Finding the Third Proportional to 12,976,128 and 18,971,136

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Solution

The third proportional to 12,976,128 and 18,971,136 is: 27,735,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976,128 : 18,971,136 = 18,971,136 : x
  2. Step 2: Convert to fraction form
    12,976,128/18,971,136 = 18,971,136/x
  3. Step 3: Cross multiply
    12,976,128x = 18,971,136 × 18,971,136
  4. Step 4: Simplify right side
    12,976,128x = 359,904,001,130,496
  5. Step 5: Solve for x
    x = 359,904,001,130,496/12,976,128
  6. Step 6: Final answer
    x = 27,735,854.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.