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Finding the Third Proportional to 289,385 and 634,792

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Solution

The third proportional to 289,385 and 634,792 is: 1,392,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385 : 634,792 = 634,792 : x
  2. Step 2: Convert to fraction form
    289,385/634,792 = 634,792/x
  3. Step 3: Cross multiply
    289,385x = 634,792 × 634,792
  4. Step 4: Simplify right side
    289,385x = 402,960,883,264
  5. Step 5: Solve for x
    x = 402,960,883,264/289,385
  6. Step 6: Final answer
    x = 1,392,473.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.