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Finding the Third Proportional to 354,901.50 and 774,030.94

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Solution

The third proportional to 354,901.50 and 774,030.94 is: 1,688,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 774,030.94 = 774,030.94 : x
  2. Step 2: Convert to fraction form
    354,901.50/774,030.94 = 774,030.94/x
  3. Step 3: Cross multiply
    354,901.50x = 774,030.94 × 774,030.94
  4. Step 4: Simplify right side
    354,901.50x = 599,123,892,207.13
  5. Step 5: Solve for x
    x = 599,123,892,207.13/354,901.50
  6. Step 6: Final answer
    x = 1,688,141.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.