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Finding the Third Proportional to 209,463,140 and 440,632,984

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Solution

The third proportional to 209,463,140 and 440,632,984 is: 926,928,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,140 : 440,632,984 = 440,632,984 : x
  2. Step 2: Convert to fraction form
    209,463,140/440,632,984 = 440,632,984/x
  3. Step 3: Cross multiply
    209,463,140x = 440,632,984 × 440,632,984
  4. Step 4: Simplify right side
    209,463,140x = 194,157,426,588,744,256
  5. Step 5: Solve for x
    x = 194,157,426,588,744,256/209,463,140
  6. Step 6: Final answer
    x = 926,928,845.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.