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Finding the Third Proportional to 149,366 and 312,582

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Solution

The third proportional to 149,366 and 312,582 is: 654,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,366 : 312,582 = 312,582 : x
  2. Step 2: Convert to fraction form
    149,366/312,582 = 312,582/x
  3. Step 3: Cross multiply
    149,366x = 312,582 × 312,582
  4. Step 4: Simplify right side
    149,366x = 97,707,506,724
  5. Step 5: Solve for x
    x = 97,707,506,724/149,366
  6. Step 6: Final answer
    x = 654,148.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.