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Finding the Third Proportional to 310,990,164.75 and 680,556,937.50

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Solution

The third proportional to 310,990,164.75 and 680,556,937.50 is: 1,489,300,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,990,164.75 : 680,556,937.50 = 680,556,937.50 : x
  2. Step 2: Convert to fraction form
    310,990,164.75/680,556,937.50 = 680,556,937.50/x
  3. Step 3: Cross multiply
    310,990,164.75x = 680,556,937.50 × 680,556,937.50
  4. Step 4: Simplify right side
    310,990,164.75x = 463,157,745,179,378,880
  5. Step 5: Solve for x
    x = 463,157,745,179,378,880/310,990,164.75
  6. Step 6: Final answer
    x = 1,489,300,298.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.