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Finding the Third Proportional to 201,286,300 and 440,258,984

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Solution

The third proportional to 201,286,300 and 440,258,984 is: 962,946,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286,300 : 440,258,984 = 440,258,984 : x
  2. Step 2: Convert to fraction form
    201,286,300/440,258,984 = 440,258,984/x
  3. Step 3: Cross multiply
    201,286,300x = 440,258,984 × 440,258,984
  4. Step 4: Simplify right side
    201,286,300x = 193,827,972,992,712,256
  5. Step 5: Solve for x
    x = 193,827,972,992,712,256/201,286,300
  6. Step 6: Final answer
    x = 962,946,673.43

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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.