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Finding the Third Proportional to 136,887,394.50 and 208,778,898.94

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Solution

The third proportional to 136,887,394.50 and 208,778,898.94 is: 318,426,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,887,394.50 : 208,778,898.94 = 208,778,898.94 : x
  2. Step 2: Convert to fraction form
    136,887,394.50/208,778,898.94 = 208,778,898.94/x
  3. Step 3: Cross multiply
    136,887,394.50x = 208,778,898.94 × 208,778,898.94
  4. Step 4: Simplify right side
    136,887,394.50x = 43,588,628,641,554,840
  5. Step 5: Solve for x
    x = 43,588,628,641,554,840/136,887,394.50
  6. Step 6: Final answer
    x = 318,426,899.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.