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Finding the Third Proportional to 109,891,888 and 217,017,968

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Solution

The third proportional to 109,891,888 and 217,017,968 is: 428,573,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891,888 : 217,017,968 = 217,017,968 : x
  2. Step 2: Convert to fraction form
    109,891,888/217,017,968 = 217,017,968/x
  3. Step 3: Cross multiply
    109,891,888x = 217,017,968 × 217,017,968
  4. Step 4: Simplify right side
    109,891,888x = 47,096,798,434,849,024
  5. Step 5: Solve for x
    x = 47,096,798,434,849,024/109,891,888
  6. Step 6: Final answer
    x = 428,573,931.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.