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Finding the Third Proportional to 287,325,249,120 and 404,103,739,326

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Solution

The third proportional to 287,325,249,120 and 404,103,739,326 is: 568,344,872,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,325,249,120 : 404,103,739,326 = 404,103,739,326 : x
  2. Step 2: Convert to fraction form
    287,325,249,120/404,103,739,326 = 404,103,739,326/x
  3. Step 3: Cross multiply
    287,325,249,120x = 404,103,739,326 × 404,103,739,326
  4. Step 4: Simplify right side
    287,325,249,120x = 163,299,832,137,255,766,458,368
  5. Step 5: Solve for x
    x = 163,299,832,137,255,766,458,368/287,325,249,120
  6. Step 6: Final answer
    x = 568,344,872,709.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.