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Finding the Third Proportional to 357,380 and 776,968

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Solution

The third proportional to 357,380 and 776,968 is: 1,689,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,380 : 776,968 = 776,968 : x
  2. Step 2: Convert to fraction form
    357,380/776,968 = 776,968/x
  3. Step 3: Cross multiply
    357,380x = 776,968 × 776,968
  4. Step 4: Simplify right side
    357,380x = 603,679,273,024
  5. Step 5: Solve for x
    x = 603,679,273,024/357,380
  6. Step 6: Final answer
    x = 1,689,180.35

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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.