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Finding the Third Proportional to 9,780,705 and 21,241,434

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Solution

The third proportional to 9,780,705 and 21,241,434 is: 46,131,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780,705 : 21,241,434 = 21,241,434 : x
  2. Step 2: Convert to fraction form
    9,780,705/21,241,434 = 21,241,434/x
  3. Step 3: Cross multiply
    9,780,705x = 21,241,434 × 21,241,434
  4. Step 4: Simplify right side
    9,780,705x = 451,198,518,376,356
  5. Step 5: Solve for x
    x = 451,198,518,376,356/9,780,705
  6. Step 6: Final answer
    x = 46,131,492.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.