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Finding the Third Proportional to 145,786 and 315,752

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Solution

The third proportional to 145,786 and 315,752 is: 683,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,786 : 315,752 = 315,752 : x
  2. Step 2: Convert to fraction form
    145,786/315,752 = 315,752/x
  3. Step 3: Cross multiply
    145,786x = 315,752 × 315,752
  4. Step 4: Simplify right side
    145,786x = 99,699,325,504
  5. Step 5: Solve for x
    x = 99,699,325,504/145,786
  6. Step 6: Final answer
    x = 683,874.48

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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.