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Finding the Third Proportional to 2,578,342.50 and 5,464,044

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Solution

The third proportional to 2,578,342.50 and 5,464,044 is: 11,579,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,342.50 : 5,464,044 = 5,464,044 : x
  2. Step 2: Convert to fraction form
    2,578,342.50/5,464,044 = 5,464,044/x
  3. Step 3: Cross multiply
    2,578,342.50x = 5,464,044 × 5,464,044
  4. Step 4: Simplify right side
    2,578,342.50x = 29,855,776,833,936
  5. Step 5: Solve for x
    x = 29,855,776,833,936/2,578,342.50
  6. Step 6: Final answer
    x = 11,579,445.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.