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Finding the Third Proportional to 209,703 and 456,270

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Solution

The third proportional to 209,703 and 456,270 is: 992,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703 : 456,270 = 456,270 : x
  2. Step 2: Convert to fraction form
    209,703/456,270 = 456,270/x
  3. Step 3: Cross multiply
    209,703x = 456,270 × 456,270
  4. Step 4: Simplify right side
    209,703x = 208,182,312,900
  5. Step 5: Solve for x
    x = 208,182,312,900/209,703
  6. Step 6: Final answer
    x = 992,748.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.