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Finding the Third Proportional to 145,568 and 314,509

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Solution

The third proportional to 145,568 and 314,509 is: 679,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568 : 314,509 = 314,509 : x
  2. Step 2: Convert to fraction form
    145,568/314,509 = 314,509/x
  3. Step 3: Cross multiply
    145,568x = 314,509 × 314,509
  4. Step 4: Simplify right side
    145,568x = 98,915,911,081
  5. Step 5: Solve for x
    x = 98,915,911,081/145,568
  6. Step 6: Final answer
    x = 679,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.