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Finding the Third Proportional to 229,456.40 and 490,441.16

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Solution

The third proportional to 229,456.40 and 490,441.16 is: 1,048,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,456.40 : 490,441.16 = 490,441.16 : x
  2. Step 2: Convert to fraction form
    229,456.40/490,441.16 = 490,441.16/x
  3. Step 3: Cross multiply
    229,456.40x = 490,441.16 × 490,441.16
  4. Step 4: Simplify right side
    229,456.40x = 240,532,528,701.74
  5. Step 5: Solve for x
    x = 240,532,528,701.74/229,456.40
  6. Step 6: Final answer
    x = 1,048,271.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.