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Finding the Third Proportional to 349,830 and 534,879

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Solution

The third proportional to 349,830 and 534,879 is: 817,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,830 : 534,879 = 534,879 : x
  2. Step 2: Convert to fraction form
    349,830/534,879 = 534,879/x
  3. Step 3: Cross multiply
    349,830x = 534,879 × 534,879
  4. Step 4: Simplify right side
    349,830x = 286,095,544,641
  5. Step 5: Solve for x
    x = 286,095,544,641/349,830
  6. Step 6: Final answer
    x = 817,813.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.