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Finding the Third Proportional to 1,785,013,362 and 3,856,847,400

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Solution

The third proportional to 1,785,013,362 and 3,856,847,400 is: 8,333,423,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,013,362 : 3,856,847,400 = 3,856,847,400 : x
  2. Step 2: Convert to fraction form
    1,785,013,362/3,856,847,400 = 3,856,847,400/x
  3. Step 3: Cross multiply
    1,785,013,362x = 3,856,847,400 × 3,856,847,400
  4. Step 4: Simplify right side
    1,785,013,362x = 14,875,271,866,886,760,448
  5. Step 5: Solve for x
    x = 14,875,271,866,886,760,448/1,785,013,362
  6. Step 6: Final answer
    x = 8,333,423,258.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.