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Finding the Third Proportional to 285,806 and 420,159

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Solution

The third proportional to 285,806 and 420,159 is: 617,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,806 : 420,159 = 420,159 : x
  2. Step 2: Convert to fraction form
    285,806/420,159 = 420,159/x
  3. Step 3: Cross multiply
    285,806x = 420,159 × 420,159
  4. Step 4: Simplify right side
    285,806x = 176,533,585,281
  5. Step 5: Solve for x
    x = 176,533,585,281/285,806
  6. Step 6: Final answer
    x = 617,669.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.