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Finding the Third Proportional to 398,484,866.25 and 625,048,533

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Solution

The third proportional to 398,484,866.25 and 625,048,533 is: 980,427,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,484,866.25 : 625,048,533 = 625,048,533 : x
  2. Step 2: Convert to fraction form
    398,484,866.25/625,048,533 = 625,048,533/x
  3. Step 3: Cross multiply
    398,484,866.25x = 625,048,533 × 625,048,533
  4. Step 4: Simplify right side
    398,484,866.25x = 390,685,668,605,452,096
  5. Step 5: Solve for x
    x = 390,685,668,605,452,096/398,484,866.25
  6. Step 6: Final answer
    x = 980,427,869.90

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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.