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Finding the Third Proportional to 398,880,640 and 596,122,511.50

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Solution

The third proportional to 398,880,640 and 596,122,511.50 is: 890,898,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,880,640 : 596,122,511.50 = 596,122,511.50 : x
  2. Step 2: Convert to fraction form
    398,880,640/596,122,511.50 = 596,122,511.50/x
  3. Step 3: Cross multiply
    398,880,640x = 596,122,511.50 × 596,122,511.50
  4. Step 4: Simplify right side
    398,880,640x = 355,362,048,717,067,648
  5. Step 5: Solve for x
    x = 355,362,048,717,067,648/398,880,640
  6. Step 6: Final answer
    x = 890,898,211.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.