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Finding the Third Proportional to 310,989,928.50 and 680,556,463.50

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Solution

The third proportional to 310,989,928.50 and 680,556,463.50 is: 1,489,299,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,989,928.50 : 680,556,463.50 = 680,556,463.50 : x
  2. Step 2: Convert to fraction form
    310,989,928.50/680,556,463.50 = 680,556,463.50/x
  3. Step 3: Cross multiply
    310,989,928.50x = 680,556,463.50 × 680,556,463.50
  4. Step 4: Simplify right side
    310,989,928.50x = 463,157,100,011,626,816
  5. Step 5: Solve for x
    x = 463,157,100,011,626,816/310,989,928.50
  6. Step 6: Final answer
    x = 1,489,299,355.27

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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.