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Finding the Third Proportional to 645,649,116 and 905,973,522

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Solution

The third proportional to 645,649,116 and 905,973,522 is: 1,271,260,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,649,116 : 905,973,522 = 905,973,522 : x
  2. Step 2: Convert to fraction form
    645,649,116/905,973,522 = 905,973,522/x
  3. Step 3: Cross multiply
    645,649,116x = 905,973,522 × 905,973,522
  4. Step 4: Simplify right side
    645,649,116x = 820,788,022,565,084,544
  5. Step 5: Solve for x
    x = 820,788,022,565,084,544/645,649,116
  6. Step 6: Final answer
    x = 1,271,260,197.26

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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.