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Finding the Third Proportional to 12,871,424 and 18,886,368

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Solution

The third proportional to 12,871,424 and 18,886,368 is: 27,712,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871,424 : 18,886,368 = 18,886,368 : x
  2. Step 2: Convert to fraction form
    12,871,424/18,886,368 = 18,886,368/x
  3. Step 3: Cross multiply
    12,871,424x = 18,886,368 × 18,886,368
  4. Step 4: Simplify right side
    12,871,424x = 356,694,896,231,424
  5. Step 5: Solve for x
    x = 356,694,896,231,424/12,871,424
  6. Step 6: Final answer
    x = 27,712,154.94

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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.