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Finding the Third Proportional to 354,783 and 518,970

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Solution

The third proportional to 354,783 and 518,970 is: 759,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,783 : 518,970 = 518,970 : x
  2. Step 2: Convert to fraction form
    354,783/518,970 = 518,970/x
  3. Step 3: Cross multiply
    354,783x = 518,970 × 518,970
  4. Step 4: Simplify right side
    354,783x = 269,329,860,900
  5. Step 5: Solve for x
    x = 269,329,860,900/354,783
  6. Step 6: Final answer
    x = 759,139.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.