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Finding the Third Proportional to 86,643,510 and 190,290,644

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Solution

The third proportional to 86,643,510 and 190,290,644 is: 417,925,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643,510 : 190,290,644 = 190,290,644 : x
  2. Step 2: Convert to fraction form
    86,643,510/190,290,644 = 190,290,644/x
  3. Step 3: Cross multiply
    86,643,510x = 190,290,644 × 190,290,644
  4. Step 4: Simplify right side
    86,643,510x = 36,210,529,193,934,736
  5. Step 5: Solve for x
    x = 36,210,529,193,934,736/86,643,510
  6. Step 6: Final answer
    x = 417,925,464.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.