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Finding the Third Proportional to 281,721,974 and 389,286,522

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Solution

The third proportional to 281,721,974 and 389,286,522 is: 537,920,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,721,974 : 389,286,522 = 389,286,522 : x
  2. Step 2: Convert to fraction form
    281,721,974/389,286,522 = 389,286,522/x
  3. Step 3: Cross multiply
    281,721,974x = 389,286,522 × 389,286,522
  4. Step 4: Simplify right side
    281,721,974x = 151,543,996,210,856,480
  5. Step 5: Solve for x
    x = 151,543,996,210,856,480/281,721,974
  6. Step 6: Final answer
    x = 537,920,397.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.