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Finding the Third Proportional to 280,146,622.13 and 418,675,892.63

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Solution

The third proportional to 280,146,622.13 and 418,675,892.63 is: 625,706,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,146,622.13 : 418,675,892.63 = 418,675,892.63 : x
  2. Step 2: Convert to fraction form
    280,146,622.13/418,675,892.63 = 418,675,892.63/x
  3. Step 3: Cross multiply
    280,146,622.13x = 418,675,892.63 × 418,675,892.63
  4. Step 4: Simplify right side
    280,146,622.13x = 175,289,503,065,340,544
  5. Step 5: Solve for x
    x = 175,289,503,065,340,544/280,146,622.13
  6. Step 6: Final answer
    x = 625,706,288.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.