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Finding the Third Proportional to 10,705,382 and 15,260,911

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Solution

The third proportional to 10,705,382 and 15,260,911 is: 21,754,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705,382 : 15,260,911 = 15,260,911 : x
  2. Step 2: Convert to fraction form
    10,705,382/15,260,911 = 15,260,911/x
  3. Step 3: Cross multiply
    10,705,382x = 15,260,911 × 15,260,911
  4. Step 4: Simplify right side
    10,705,382x = 232,895,404,549,921
  5. Step 5: Solve for x
    x = 232,895,404,549,921/10,705,382
  6. Step 6: Final answer
    x = 21,754,983.11

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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.