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Finding the Third Proportional to 128,225,195 and 302,390,642

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Solution

The third proportional to 128,225,195 and 302,390,642 is: 713,121,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,225,195 : 302,390,642 = 302,390,642 : x
  2. Step 2: Convert to fraction form
    128,225,195/302,390,642 = 302,390,642/x
  3. Step 3: Cross multiply
    128,225,195x = 302,390,642 × 302,390,642
  4. Step 4: Simplify right side
    128,225,195x = 91,440,100,369,172,160
  5. Step 5: Solve for x
    x = 91,440,100,369,172,160/128,225,195
  6. Step 6: Final answer
    x = 713,121,164.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.