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Finding the Third Proportional to 357,705.50 and 777,533.50

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Solution

The third proportional to 357,705.50 and 777,533.50 is: 1,690,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,705.50 : 777,533.50 = 777,533.50 : x
  2. Step 2: Convert to fraction form
    357,705.50/777,533.50 = 777,533.50/x
  3. Step 3: Cross multiply
    357,705.50x = 777,533.50 × 777,533.50
  4. Step 4: Simplify right side
    357,705.50x = 604,558,343,622.25
  5. Step 5: Solve for x
    x = 604,558,343,622.25/357,705.50
  6. Step 6: Final answer
    x = 1,690,100.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.