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Finding the Third Proportional to 402,263.50 and 554,120

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Solution

The third proportional to 402,263.50 and 554,120 is: 763,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,263.50 : 554,120 = 554,120 : x
  2. Step 2: Convert to fraction form
    402,263.50/554,120 = 554,120/x
  3. Step 3: Cross multiply
    402,263.50x = 554,120 × 554,120
  4. Step 4: Simplify right side
    402,263.50x = 307,048,974,400
  5. Step 5: Solve for x
    x = 307,048,974,400/402,263.50
  6. Step 6: Final answer
    x = 763,303.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.