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Finding the Third Proportional to 12,875,919 and 19,315,416

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Solution

The third proportional to 12,875,919 and 19,315,416 is: 28,975,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875,919 : 19,315,416 = 19,315,416 : x
  2. Step 2: Convert to fraction form
    12,875,919/19,315,416 = 19,315,416/x
  3. Step 3: Cross multiply
    12,875,919x = 19,315,416 × 19,315,416
  4. Step 4: Simplify right side
    12,875,919x = 373,085,295,253,056
  5. Step 5: Solve for x
    x = 373,085,295,253,056/12,875,919
  6. Step 6: Final answer
    x = 28,975,430.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.