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Finding the Third Proportional to 403,560 and 565,578

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Solution

The third proportional to 403,560 and 565,578 is: 792,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,560 : 565,578 = 565,578 : x
  2. Step 2: Convert to fraction form
    403,560/565,578 = 565,578/x
  3. Step 3: Cross multiply
    403,560x = 565,578 × 565,578
  4. Step 4: Simplify right side
    403,560x = 319,878,474,084
  5. Step 5: Solve for x
    x = 319,878,474,084/403,560
  6. Step 6: Final answer
    x = 792,641.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.