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Finding the Third Proportional to 98,849,388 and 205,879,932

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Solution

The third proportional to 98,849,388 and 205,879,932 is: 428,799,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,849,388 : 205,879,932 = 205,879,932 : x
  2. Step 2: Convert to fraction form
    98,849,388/205,879,932 = 205,879,932/x
  3. Step 3: Cross multiply
    98,849,388x = 205,879,932 × 205,879,932
  4. Step 4: Simplify right side
    98,849,388x = 42,386,546,400,324,624
  5. Step 5: Solve for x
    x = 42,386,546,400,324,624/98,849,388
  6. Step 6: Final answer
    x = 428,799,279.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.