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Finding the Third Proportional to 309,976,281 and 669,263,052

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Solution

The third proportional to 309,976,281 and 669,263,052 is: 1,444,991,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,976,281 : 669,263,052 = 669,263,052 : x
  2. Step 2: Convert to fraction form
    309,976,281/669,263,052 = 669,263,052/x
  3. Step 3: Cross multiply
    309,976,281x = 669,263,052 × 669,263,052
  4. Step 4: Simplify right side
    309,976,281x = 447,913,032,772,354,688
  5. Step 5: Solve for x
    x = 447,913,032,772,354,688/309,976,281
  6. Step 6: Final answer
    x = 1,444,991,311.36

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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.