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Finding the Third Proportional to 398,484,864 and 625,048,530.19

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Solution

The third proportional to 398,484,864 and 625,048,530.19 is: 980,427,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,484,864 : 625,048,530.19 = 625,048,530.19 : x
  2. Step 2: Convert to fraction form
    398,484,864/625,048,530.19 = 625,048,530.19/x
  3. Step 3: Cross multiply
    398,484,864x = 625,048,530.19 × 625,048,530.19
  4. Step 4: Simplify right side
    398,484,864x = 390,685,665,089,554,112
  5. Step 5: Solve for x
    x = 390,685,665,089,554,112/398,484,864
  6. Step 6: Final answer
    x = 980,427,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.