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Finding the Third Proportional to 12,875,907 and 19,315,396.50

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Solution

The third proportional to 12,875,907 and 19,315,396.50 is: 28,975,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875,907 : 19,315,396.50 = 19,315,396.50 : x
  2. Step 2: Convert to fraction form
    12,875,907/19,315,396.50 = 19,315,396.50/x
  3. Step 3: Cross multiply
    12,875,907x = 19,315,396.50 × 19,315,396.50
  4. Step 4: Simplify right side
    12,875,907x = 373,084,541,952,212.25
  5. Step 5: Solve for x
    x = 373,084,541,952,212.25/12,875,907
  6. Step 6: Final answer
    x = 28,975,398.93

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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.