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Finding the Third Proportional to 369,140.50 and 578,318

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Solution

The third proportional to 369,140.50 and 578,318 is: 906,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,140.50 : 578,318 = 578,318 : x
  2. Step 2: Convert to fraction form
    369,140.50/578,318 = 578,318/x
  3. Step 3: Cross multiply
    369,140.50x = 578,318 × 578,318
  4. Step 4: Simplify right side
    369,140.50x = 334,451,709,124
  5. Step 5: Solve for x
    x = 334,451,709,124/369,140.50
  6. Step 6: Final answer
    x = 906,028.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.