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Finding the Third Proportional to 130,356 and 282,717

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Solution

The third proportional to 130,356 and 282,717 is: 613,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,356 : 282,717 = 282,717 : x
  2. Step 2: Convert to fraction form
    130,356/282,717 = 282,717/x
  3. Step 3: Cross multiply
    130,356x = 282,717 × 282,717
  4. Step 4: Simplify right side
    130,356x = 79,928,902,089
  5. Step 5: Solve for x
    x = 79,928,902,089/130,356
  6. Step 6: Final answer
    x = 613,158.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.