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Finding the Third Proportional to 482,400 and 709,146

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Solution

The third proportional to 482,400 and 709,146 is: 1,042,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,400 : 709,146 = 709,146 : x
  2. Step 2: Convert to fraction form
    482,400/709,146 = 709,146/x
  3. Step 3: Cross multiply
    482,400x = 709,146 × 709,146
  4. Step 4: Simplify right side
    482,400x = 502,888,049,316
  5. Step 5: Solve for x
    x = 502,888,049,316/482,400
  6. Step 6: Final answer
    x = 1,042,471.08

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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.