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Finding the Third Proportional to 128,977,214,103 and 192,347,345,539

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Solution

The third proportional to 128,977,214,103 and 192,347,345,539 is: 286,853,004,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,977,214,103 : 192,347,345,539 = 192,347,345,539 : x
  2. Step 2: Convert to fraction form
    128,977,214,103/192,347,345,539 = 192,347,345,539/x
  3. Step 3: Cross multiply
    128,977,214,103x = 192,347,345,539 × 192,347,345,539
  4. Step 4: Simplify right side
    128,977,214,103x = 36,997,501,335,899,461,386,240
  5. Step 5: Solve for x
    x = 36,997,501,335,899,461,386,240/128,977,214,103
  6. Step 6: Final answer
    x = 286,853,004,177.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.