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Finding the Third Proportional to 309,944,656 and 674,368,561

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Solution

The third proportional to 309,944,656 and 674,368,561 is: 1,467,271,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,944,656 : 674,368,561 = 674,368,561 : x
  2. Step 2: Convert to fraction form
    309,944,656/674,368,561 = 674,368,561/x
  3. Step 3: Cross multiply
    309,944,656x = 674,368,561 × 674,368,561
  4. Step 4: Simplify right side
    309,944,656x = 454,772,956,065,210,752
  5. Step 5: Solve for x
    x = 454,772,956,065,210,752/309,944,656
  6. Step 6: Final answer
    x = 1,467,271,486.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.