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Finding the Third Proportional to 354,459 and 777,815

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Solution

The third proportional to 354,459 and 777,815 is: 1,706,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,459 : 777,815 = 777,815 : x
  2. Step 2: Convert to fraction form
    354,459/777,815 = 777,815/x
  3. Step 3: Cross multiply
    354,459x = 777,815 × 777,815
  4. Step 4: Simplify right side
    354,459x = 604,996,174,225
  5. Step 5: Solve for x
    x = 604,996,174,225/354,459
  6. Step 6: Final answer
    x = 1,706,815.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.