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Finding the Third Proportional to 201,397,840 and 310,993,480

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Solution

The third proportional to 201,397,840 and 310,993,480 is: 480,228,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,840 : 310,993,480 = 310,993,480 : x
  2. Step 2: Convert to fraction form
    201,397,840/310,993,480 = 310,993,480/x
  3. Step 3: Cross multiply
    201,397,840x = 310,993,480 × 310,993,480
  4. Step 4: Simplify right side
    201,397,840x = 96,716,944,602,510,400
  5. Step 5: Solve for x
    x = 96,716,944,602,510,400/201,397,840
  6. Step 6: Final answer
    x = 480,228,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.