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Finding the Third Proportional to 252,054 and 399,307.50

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Solution

The third proportional to 252,054 and 399,307.50 is: 632,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,054 : 399,307.50 = 399,307.50 : x
  2. Step 2: Convert to fraction form
    252,054/399,307.50 = 399,307.50/x
  3. Step 3: Cross multiply
    252,054x = 399,307.50 × 399,307.50
  4. Step 4: Simplify right side
    252,054x = 159,446,479,556.25
  5. Step 5: Solve for x
    x = 159,446,479,556.25/252,054
  6. Step 6: Final answer
    x = 632,588.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.