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Finding the Third Proportional to 531,004,005 and 831,149,343

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Solution

The third proportional to 531,004,005 and 831,149,343 is: 1,300,949,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,004,005 : 831,149,343 = 831,149,343 : x
  2. Step 2: Convert to fraction form
    531,004,005/831,149,343 = 831,149,343/x
  3. Step 3: Cross multiply
    531,004,005x = 831,149,343 × 831,149,343
  4. Step 4: Simplify right side
    531,004,005x = 690,809,230,369,331,712
  5. Step 5: Solve for x
    x = 690,809,230,369,331,712/531,004,005
  6. Step 6: Final answer
    x = 1,300,949,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.