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Finding the Third Proportional to 98,846,303 and 205,873,943

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Solution

The third proportional to 98,846,303 and 205,873,943 is: 428,787,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846,303 : 205,873,943 = 205,873,943 : x
  2. Step 2: Convert to fraction form
    98,846,303/205,873,943 = 205,873,943/x
  3. Step 3: Cross multiply
    98,846,303x = 205,873,943 × 205,873,943
  4. Step 4: Simplify right side
    98,846,303x = 42,384,080,406,367,248
  5. Step 5: Solve for x
    x = 42,384,080,406,367,248/98,846,303
  6. Step 6: Final answer
    x = 428,787,715.07

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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.