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Finding the Third Proportional to 687,138 and 1,496,264.25

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Solution

The third proportional to 687,138 and 1,496,264.25 is: 3,258,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,138 : 1,496,264.25 = 1,496,264.25 : x
  2. Step 2: Convert to fraction form
    687,138/1,496,264.25 = 1,496,264.25/x
  3. Step 3: Cross multiply
    687,138x = 1,496,264.25 × 1,496,264.25
  4. Step 4: Simplify right side
    687,138x = 2,238,806,705,828.06
  5. Step 5: Solve for x
    x = 2,238,806,705,828.06/687,138
  6. Step 6: Final answer
    x = 3,258,161.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.