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Finding the Third Proportional to 355,988 and 777,622

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Solution

The third proportional to 355,988 and 777,622 is: 1,698,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,988 : 777,622 = 777,622 : x
  2. Step 2: Convert to fraction form
    355,988/777,622 = 777,622/x
  3. Step 3: Cross multiply
    355,988x = 777,622 × 777,622
  4. Step 4: Simplify right side
    355,988x = 604,695,974,884
  5. Step 5: Solve for x
    x = 604,695,974,884/355,988
  6. Step 6: Final answer
    x = 1,698,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.