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Finding the Third Proportional to 312,249,735 and 694,294,976.25

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Solution

The third proportional to 312,249,735 and 694,294,976.25 is: 1,543,781,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,249,735 : 694,294,976.25 = 694,294,976.25 : x
  2. Step 2: Convert to fraction form
    312,249,735/694,294,976.25 = 694,294,976.25/x
  3. Step 3: Cross multiply
    312,249,735x = 694,294,976.25 × 694,294,976.25
  4. Step 4: Simplify right side
    312,249,735x = 482,045,514,045,988,096
  5. Step 5: Solve for x
    x = 482,045,514,045,988,096/312,249,735
  6. Step 6: Final answer
    x = 1,543,781,979.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.