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Finding the Third Proportional to 425,257 and 911,570

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Solution

The third proportional to 425,257 and 911,570 is: 1,954,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,257 : 911,570 = 911,570 : x
  2. Step 2: Convert to fraction form
    425,257/911,570 = 911,570/x
  3. Step 3: Cross multiply
    425,257x = 911,570 × 911,570
  4. Step 4: Simplify right side
    425,257x = 830,959,864,900
  5. Step 5: Solve for x
    x = 830,959,864,900/425,257
  6. Step 6: Final answer
    x = 1,954,018.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.