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Finding the Third Proportional to 201,009 and 312,582

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Solution

The third proportional to 201,009 and 312,582 is: 486,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009 : 312,582 = 312,582 : x
  2. Step 2: Convert to fraction form
    201,009/312,582 = 312,582/x
  3. Step 3: Cross multiply
    201,009x = 312,582 × 312,582
  4. Step 4: Simplify right side
    201,009x = 97,707,506,724
  5. Step 5: Solve for x
    x = 97,707,506,724/201,009
  6. Step 6: Final answer
    x = 486,085.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.