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Finding the Third Proportional to 261,828.94 and 400,352.16

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Solution

The third proportional to 261,828.94 and 400,352.16 is: 612,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,828.94 : 400,352.16 = 400,352.16 : x
  2. Step 2: Convert to fraction form
    261,828.94/400,352.16 = 400,352.16/x
  3. Step 3: Cross multiply
    261,828.94x = 400,352.16 × 400,352.16
  4. Step 4: Simplify right side
    261,828.94x = 160,281,849,014.02
  5. Step 5: Solve for x
    x = 160,281,849,014.02/261,828.94
  6. Step 6: Final answer
    x = 612,162.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.