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Finding the Third Proportional to 209,242,056 and 287,232,216

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Solution

The third proportional to 209,242,056 and 287,232,216 is: 394,291,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242,056 : 287,232,216 = 287,232,216 : x
  2. Step 2: Convert to fraction form
    209,242,056/287,232,216 = 287,232,216/x
  3. Step 3: Cross multiply
    209,242,056x = 287,232,216 × 287,232,216
  4. Step 4: Simplify right side
    209,242,056x = 82,502,345,908,270,656
  5. Step 5: Solve for x
    x = 82,502,345,908,270,656/209,242,056
  6. Step 6: Final answer
    x = 394,291,412.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.