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Finding the Third Proportional to 128,345,277 and 280,209,557

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Solution

The third proportional to 128,345,277 and 280,209,557 is: 611,766,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,345,277 : 280,209,557 = 280,209,557 : x
  2. Step 2: Convert to fraction form
    128,345,277/280,209,557 = 280,209,557/x
  3. Step 3: Cross multiply
    128,345,277x = 280,209,557 × 280,209,557
  4. Step 4: Simplify right side
    128,345,277x = 78,517,395,834,136,256
  5. Step 5: Solve for x
    x = 78,517,395,834,136,256/128,345,277
  6. Step 6: Final answer
    x = 611,766,928.00

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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.