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Finding the Third Proportional to 355,599 and 770,490

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Solution

The third proportional to 355,599 and 770,490 is: 1,669,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,599 : 770,490 = 770,490 : x
  2. Step 2: Convert to fraction form
    355,599/770,490 = 770,490/x
  3. Step 3: Cross multiply
    355,599x = 770,490 × 770,490
  4. Step 4: Simplify right side
    355,599x = 593,654,840,100
  5. Step 5: Solve for x
    x = 593,654,840,100/355,599
  6. Step 6: Final answer
    x = 1,669,450.25

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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.