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Finding the Third Proportional to 253,216 and 400,964

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Solution

The third proportional to 253,216 and 400,964 is: 634,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,216 : 400,964 = 400,964 : x
  2. Step 2: Convert to fraction form
    253,216/400,964 = 400,964/x
  3. Step 3: Cross multiply
    253,216x = 400,964 × 400,964
  4. Step 4: Simplify right side
    253,216x = 160,772,129,296
  5. Step 5: Solve for x
    x = 160,772,129,296/253,216
  6. Step 6: Final answer
    x = 634,920.89

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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.