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Finding the Third Proportional to 288,457,200 and 680,256,144

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Solution

The third proportional to 288,457,200 and 680,256,144 is: 1,604,218,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457,200 : 680,256,144 = 680,256,144 : x
  2. Step 2: Convert to fraction form
    288,457,200/680,256,144 = 680,256,144/x
  3. Step 3: Cross multiply
    288,457,200x = 680,256,144 × 680,256,144
  4. Step 4: Simplify right side
    288,457,200x = 462,748,421,449,748,736
  5. Step 5: Solve for x
    x = 462,748,421,449,748,736/288,457,200
  6. Step 6: Final answer
    x = 1,604,218,655.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.