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Finding the Third Proportional to 190,483,122 and 413,438,724

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Solution

The third proportional to 190,483,122 and 413,438,724 is: 897,358,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,483,122 : 413,438,724 = 413,438,724 : x
  2. Step 2: Convert to fraction form
    190,483,122/413,438,724 = 413,438,724/x
  3. Step 3: Cross multiply
    190,483,122x = 413,438,724 × 413,438,724
  4. Step 4: Simplify right side
    190,483,122x = 170,931,578,502,748,160
  5. Step 5: Solve for x
    x = 170,931,578,502,748,160/190,483,122
  6. Step 6: Final answer
    x = 897,358,131.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.