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Finding the Third Proportional to 312,293,169 and 485,118,252

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Solution

The third proportional to 312,293,169 and 485,118,252 is: 753,585,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,293,169 : 485,118,252 = 485,118,252 : x
  2. Step 2: Convert to fraction form
    312,293,169/485,118,252 = 485,118,252/x
  3. Step 3: Cross multiply
    312,293,169x = 485,118,252 × 485,118,252
  4. Step 4: Simplify right side
    312,293,169x = 235,339,718,423,535,488
  5. Step 5: Solve for x
    x = 235,339,718,423,535,488/312,293,169
  6. Step 6: Final answer
    x = 753,585,866.69

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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.