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Finding the Third Proportional to 290,233,407 and 631,483,260

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Solution

The third proportional to 290,233,407 and 631,483,260 is: 1,373,966,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233,407 : 631,483,260 = 631,483,260 : x
  2. Step 2: Convert to fraction form
    290,233,407/631,483,260 = 631,483,260/x
  3. Step 3: Cross multiply
    290,233,407x = 631,483,260 × 631,483,260
  4. Step 4: Simplify right side
    290,233,407x = 398,771,107,660,227,584
  5. Step 5: Solve for x
    x = 398,771,107,660,227,584/290,233,407
  6. Step 6: Final answer
    x = 1,373,966,945.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.