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Finding the Third Proportional to 278,835 and 598,146

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Solution

The third proportional to 278,835 and 598,146 is: 1,283,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,835 : 598,146 = 598,146 : x
  2. Step 2: Convert to fraction form
    278,835/598,146 = 598,146/x
  3. Step 3: Cross multiply
    278,835x = 598,146 × 598,146
  4. Step 4: Simplify right side
    278,835x = 357,778,637,316
  5. Step 5: Solve for x
    x = 357,778,637,316/278,835
  6. Step 6: Final answer
    x = 1,283,119.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.