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Finding the Third Proportional to 209,710 and 456,284

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Solution

The third proportional to 209,710 and 456,284 is: 992,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,710 : 456,284 = 456,284 : x
  2. Step 2: Convert to fraction form
    209,710/456,284 = 456,284/x
  3. Step 3: Cross multiply
    209,710x = 456,284 × 456,284
  4. Step 4: Simplify right side
    209,710x = 208,195,088,656
  5. Step 5: Solve for x
    x = 208,195,088,656/209,710
  6. Step 6: Final answer
    x = 992,776.16

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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.