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Finding the Third Proportional to 355,754 and 770,557

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Solution

The third proportional to 355,754 and 770,557 is: 1,669,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,754 : 770,557 = 770,557 : x
  2. Step 2: Convert to fraction form
    355,754/770,557 = 770,557/x
  3. Step 3: Cross multiply
    355,754x = 770,557 × 770,557
  4. Step 4: Simplify right side
    355,754x = 593,758,090,249
  5. Step 5: Solve for x
    x = 593,758,090,249/355,754
  6. Step 6: Final answer
    x = 1,669,013.11

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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.