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Finding the Third Proportional to 680,209,754.50 and 1,020,137,480

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Solution

The third proportional to 680,209,754.50 and 1,020,137,480 is: 1,529,940,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,209,754.50 : 1,020,137,480 = 1,020,137,480 : x
  2. Step 2: Convert to fraction form
    680,209,754.50/1,020,137,480 = 1,020,137,480/x
  3. Step 3: Cross multiply
    680,209,754.50x = 1,020,137,480 × 1,020,137,480
  4. Step 4: Simplify right side
    680,209,754.50x = 1,040,680,478,100,750,336
  5. Step 5: Solve for x
    x = 1,040,680,478,100,750,336/680,209,754.50
  6. Step 6: Final answer
    x = 1,529,940,538.51

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Why These Related Problems?

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