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Finding the Third Proportional to 398,206 and 616,570

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Solution

The third proportional to 398,206 and 616,570 is: 954,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,206 : 616,570 = 616,570 : x
  2. Step 2: Convert to fraction form
    398,206/616,570 = 616,570/x
  3. Step 3: Cross multiply
    398,206x = 616,570 × 616,570
  4. Step 4: Simplify right side
    398,206x = 380,158,564,900
  5. Step 5: Solve for x
    x = 380,158,564,900/398,206
  6. Step 6: Final answer
    x = 954,678.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.