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Finding the Third Proportional to 189,153,038 and 407,485,516

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Solution

The third proportional to 189,153,038 and 407,485,516 is: 877,831,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,153,038 : 407,485,516 = 407,485,516 : x
  2. Step 2: Convert to fraction form
    189,153,038/407,485,516 = 407,485,516/x
  3. Step 3: Cross multiply
    189,153,038x = 407,485,516 × 407,485,516
  4. Step 4: Simplify right side
    189,153,038x = 166,044,445,749,786,240
  5. Step 5: Solve for x
    x = 166,044,445,749,786,240/189,153,038
  6. Step 6: Final answer
    x = 877,831,239.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.