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Finding the Third Proportional to 445,430 and 971,260

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Solution

The third proportional to 445,430 and 971,260 is: 2,117,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,430 : 971,260 = 971,260 : x
  2. Step 2: Convert to fraction form
    445,430/971,260 = 971,260/x
  3. Step 3: Cross multiply
    445,430x = 971,260 × 971,260
  4. Step 4: Simplify right side
    445,430x = 943,345,987,600
  5. Step 5: Solve for x
    x = 943,345,987,600/445,430
  6. Step 6: Final answer
    x = 2,117,832.18

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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.