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Finding the Third Proportional to 340,105,478 and 510,069,642

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Solution

The third proportional to 340,105,478 and 510,069,642 is: 764,971,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,105,478 : 510,069,642 = 510,069,642 : x
  2. Step 2: Convert to fraction form
    340,105,478/510,069,642 = 510,069,642/x
  3. Step 3: Cross multiply
    340,105,478x = 510,069,642 × 510,069,642
  4. Step 4: Simplify right side
    340,105,478x = 260,171,039,690,008,160
  5. Step 5: Solve for x
    x = 260,171,039,690,008,160/340,105,478
  6. Step 6: Final answer
    x = 764,971,623.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.