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Finding the Third Proportional to 211,939,890 and 286,259,565

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Solution

The third proportional to 211,939,890 and 286,259,565 is: 386,640,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,939,890 : 286,259,565 = 286,259,565 : x
  2. Step 2: Convert to fraction form
    211,939,890/286,259,565 = 286,259,565/x
  3. Step 3: Cross multiply
    211,939,890x = 286,259,565 × 286,259,565
  4. Step 4: Simplify right side
    211,939,890x = 81,944,538,553,989,232
  5. Step 5: Solve for x
    x = 81,944,538,553,989,232/211,939,890
  6. Step 6: Final answer
    x = 386,640,469.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.