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Finding the Third Proportional to 10,705,378 and 15,260,905

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Solution

The third proportional to 10,705,378 and 15,260,905 is: 21,754,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705,378 : 15,260,905 = 15,260,905 : x
  2. Step 2: Convert to fraction form
    10,705,378/15,260,905 = 15,260,905/x
  3. Step 3: Cross multiply
    10,705,378x = 15,260,905 × 15,260,905
  4. Step 4: Simplify right side
    10,705,378x = 232,895,221,419,025
  5. Step 5: Solve for x
    x = 232,895,221,419,025/10,705,378
  6. Step 6: Final answer
    x = 21,754,974.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.