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Finding the Third Proportional to 208,427,312 and 306,578,415

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Solution

The third proportional to 208,427,312 and 306,578,415 is: 450,950,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,427,312 : 306,578,415 = 306,578,415 : x
  2. Step 2: Convert to fraction form
    208,427,312/306,578,415 = 306,578,415/x
  3. Step 3: Cross multiply
    208,427,312x = 306,578,415 × 306,578,415
  4. Step 4: Simplify right side
    208,427,312x = 93,990,324,543,912,224
  5. Step 5: Solve for x
    x = 93,990,324,543,912,224/208,427,312
  6. Step 6: Final answer
    x = 450,950,135.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.