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Finding the Third Proportional to 380,354 and 531,730

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Solution

The third proportional to 380,354 and 531,730 is: 743,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,354 : 531,730 = 531,730 : x
  2. Step 2: Convert to fraction form
    380,354/531,730 = 531,730/x
  3. Step 3: Cross multiply
    380,354x = 531,730 × 531,730
  4. Step 4: Simplify right side
    380,354x = 282,736,792,900
  5. Step 5: Solve for x
    x = 282,736,792,900/380,354
  6. Step 6: Final answer
    x = 743,351.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.