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Finding the Third Proportional to 149,314 and 312,459

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Solution

The third proportional to 149,314 and 312,459 is: 653,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314 : 312,459 = 312,459 : x
  2. Step 2: Convert to fraction form
    149,314/312,459 = 312,459/x
  3. Step 3: Cross multiply
    149,314x = 312,459 × 312,459
  4. Step 4: Simplify right side
    149,314x = 97,630,626,681
  5. Step 5: Solve for x
    x = 97,630,626,681/149,314
  6. Step 6: Final answer
    x = 653,861.17

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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.