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Finding the Third Proportional to 200,831,434 and 310,335,777

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Solution

The third proportional to 200,831,434 and 310,335,777 is: 479,547,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,434 : 310,335,777 = 310,335,777 : x
  2. Step 2: Convert to fraction form
    200,831,434/310,335,777 = 310,335,777/x
  3. Step 3: Cross multiply
    200,831,434x = 310,335,777 × 310,335,777
  4. Step 4: Simplify right side
    200,831,434x = 96,308,294,486,193,728
  5. Step 5: Solve for x
    x = 96,308,294,486,193,728/200,831,434
  6. Step 6: Final answer
    x = 479,547,910.24

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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.