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Finding the Third Proportional to 207,480 and 455,139

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Solution

The third proportional to 207,480 and 455,139 is: 998,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,480 : 455,139 = 455,139 : x
  2. Step 2: Convert to fraction form
    207,480/455,139 = 455,139/x
  3. Step 3: Cross multiply
    207,480x = 455,139 × 455,139
  4. Step 4: Simplify right side
    207,480x = 207,151,509,321
  5. Step 5: Solve for x
    x = 207,151,509,321/207,480
  6. Step 6: Final answer
    x = 998,416.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.