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Finding the Third Proportional to 357,152 and 539,378

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Solution

The third proportional to 357,152 and 539,378 is: 814,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,152 : 539,378 = 539,378 : x
  2. Step 2: Convert to fraction form
    357,152/539,378 = 539,378/x
  3. Step 3: Cross multiply
    357,152x = 539,378 × 539,378
  4. Step 4: Simplify right side
    357,152x = 290,928,626,884
  5. Step 5: Solve for x
    x = 290,928,626,884/357,152
  6. Step 6: Final answer
    x = 814,579.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.