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Finding the Third Proportional to 130,204,728 and 201,429,492

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Solution

The third proportional to 130,204,728 and 201,429,492 is: 311,615,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,204,728 : 201,429,492 = 201,429,492 : x
  2. Step 2: Convert to fraction form
    130,204,728/201,429,492 = 201,429,492/x
  3. Step 3: Cross multiply
    130,204,728x = 201,429,492 × 201,429,492
  4. Step 4: Simplify right side
    130,204,728x = 40,573,840,247,378,064
  5. Step 5: Solve for x
    x = 40,573,840,247,378,064/130,204,728
  6. Step 6: Final answer
    x = 311,615,721.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.