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Finding the Third Proportional to 780,124,520 and 1,624,819,480

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Solution

The third proportional to 780,124,520 and 1,624,819,480 is: 3,384,124,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,124,520 : 1,624,819,480 = 1,624,819,480 : x
  2. Step 2: Convert to fraction form
    780,124,520/1,624,819,480 = 1,624,819,480/x
  3. Step 3: Cross multiply
    780,124,520x = 1,624,819,480 × 1,624,819,480
  4. Step 4: Simplify right side
    780,124,520x = 2,640,038,342,587,470,336
  5. Step 5: Solve for x
    x = 2,640,038,342,587,470,336/780,124,520
  6. Step 6: Final answer
    x = 3,384,124,296.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.