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Finding the Third Proportional to 434,720 and 897,376

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Solution

The third proportional to 434,720 and 897,376 is: 1,852,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,720 : 897,376 = 897,376 : x
  2. Step 2: Convert to fraction form
    434,720/897,376 = 897,376/x
  3. Step 3: Cross multiply
    434,720x = 897,376 × 897,376
  4. Step 4: Simplify right side
    434,720x = 805,283,685,376
  5. Step 5: Solve for x
    x = 805,283,685,376/434,720
  6. Step 6: Final answer
    x = 1,852,419.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.