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Finding the Third Proportional to 309,169,842 and 666,763,572

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Solution

The third proportional to 309,169,842 and 666,763,572 is: 1,437,959,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,169,842 : 666,763,572 = 666,763,572 : x
  2. Step 2: Convert to fraction form
    309,169,842/666,763,572 = 666,763,572/x
  3. Step 3: Cross multiply
    309,169,842x = 666,763,572 × 666,763,572
  4. Step 4: Simplify right side
    309,169,842x = 444,573,660,946,199,168
  5. Step 5: Solve for x
    x = 444,573,660,946,199,168/309,169,842
  6. Step 6: Final answer
    x = 1,437,959,336.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.