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Finding the Third Proportional to 98,644,776 and 137,911,203

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Solution

The third proportional to 98,644,776 and 137,911,203 is: 192,807,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644,776 : 137,911,203 = 137,911,203 : x
  2. Step 2: Convert to fraction form
    98,644,776/137,911,203 = 137,911,203/x
  3. Step 3: Cross multiply
    98,644,776x = 137,911,203 × 137,911,203
  4. Step 4: Simplify right side
    98,644,776x = 19,019,499,912,907,208
  5. Step 5: Solve for x
    x = 19,019,499,912,907,208/98,644,776
  6. Step 6: Final answer
    x = 192,807,979.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.