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Finding the Third Proportional to 286,083,398 and 431,221,335

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Solution

The third proportional to 286,083,398 and 431,221,335 is: 649,991,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,083,398 : 431,221,335 = 431,221,335 : x
  2. Step 2: Convert to fraction form
    286,083,398/431,221,335 = 431,221,335/x
  3. Step 3: Cross multiply
    286,083,398x = 431,221,335 × 431,221,335
  4. Step 4: Simplify right side
    286,083,398x = 185,951,839,759,182,240
  5. Step 5: Solve for x
    x = 185,951,839,759,182,240/286,083,398
  6. Step 6: Final answer
    x = 649,991,719.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.