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Finding the Third Proportional to 12,875,915 and 19,315,409

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Solution

The third proportional to 12,875,915 and 19,315,409 is: 28,975,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875,915 : 19,315,409 = 19,315,409 : x
  2. Step 2: Convert to fraction form
    12,875,915/19,315,409 = 19,315,409/x
  3. Step 3: Cross multiply
    12,875,915x = 19,315,409 × 19,315,409
  4. Step 4: Simplify right side
    12,875,915x = 373,085,024,837,281
  5. Step 5: Solve for x
    x = 373,085,024,837,281/12,875,915
  6. Step 6: Final answer
    x = 28,975,418.43

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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.