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Finding the Third Proportional to 1,658,138 and 2,560,487

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Solution

The third proportional to 1,658,138 and 2,560,487 is: 3,953,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,138 : 2,560,487 = 2,560,487 : x
  2. Step 2: Convert to fraction form
    1,658,138/2,560,487 = 2,560,487/x
  3. Step 3: Cross multiply
    1,658,138x = 2,560,487 × 2,560,487
  4. Step 4: Simplify right side
    1,658,138x = 6,556,093,677,169
  5. Step 5: Solve for x
    x = 6,556,093,677,169/1,658,138
  6. Step 6: Final answer
    x = 3,953,889.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.