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Finding the Third Proportional to 357,486 and 531,369

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Solution

The third proportional to 357,486 and 531,369 is: 789,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,486 : 531,369 = 531,369 : x
  2. Step 2: Convert to fraction form
    357,486/531,369 = 531,369/x
  3. Step 3: Cross multiply
    357,486x = 531,369 × 531,369
  4. Step 4: Simplify right side
    357,486x = 282,353,014,161
  5. Step 5: Solve for x
    x = 282,353,014,161/357,486
  6. Step 6: Final answer
    x = 789,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.