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Finding the Third Proportional to 369,173 and 569,509

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Solution

The third proportional to 369,173 and 569,509 is: 878,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,173 : 569,509 = 569,509 : x
  2. Step 2: Convert to fraction form
    369,173/569,509 = 569,509/x
  3. Step 3: Cross multiply
    369,173x = 569,509 × 569,509
  4. Step 4: Simplify right side
    369,173x = 324,340,501,081
  5. Step 5: Solve for x
    x = 324,340,501,081/369,173
  6. Step 6: Final answer
    x = 878,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.