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Finding the Third Proportional to 201,397,381 and 310,992,789

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Solution

The third proportional to 201,397,381 and 310,992,789 is: 480,227,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,381 : 310,992,789 = 310,992,789 : x
  2. Step 2: Convert to fraction form
    201,397,381/310,992,789 = 310,992,789/x
  3. Step 3: Cross multiply
    201,397,381x = 310,992,789 × 310,992,789
  4. Step 4: Simplify right side
    201,397,381x = 96,716,514,809,998,528
  5. Step 5: Solve for x
    x = 96,716,514,809,998,528/201,397,381
  6. Step 6: Final answer
    x = 480,227,271.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.