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Finding the Third Proportional to 15,972,129 and 26,078,287.50

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Solution

The third proportional to 15,972,129 and 26,078,287.50 is: 42,578,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972,129 : 26,078,287.50 = 26,078,287.50 : x
  2. Step 2: Convert to fraction form
    15,972,129/26,078,287.50 = 26,078,287.50/x
  3. Step 3: Cross multiply
    15,972,129x = 26,078,287.50 × 26,078,287.50
  4. Step 4: Simplify right side
    15,972,129x = 680,077,078,932,656.25
  5. Step 5: Solve for x
    x = 680,077,078,932,656.25/15,972,129
  6. Step 6: Final answer
    x = 42,578,987.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.