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Finding the Third Proportional to 389,915,428 and 856,362,752

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Solution

The third proportional to 389,915,428 and 856,362,752 is: 1,880,810,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,428 : 856,362,752 = 856,362,752 : x
  2. Step 2: Convert to fraction form
    389,915,428/856,362,752 = 856,362,752/x
  3. Step 3: Cross multiply
    389,915,428x = 856,362,752 × 856,362,752
  4. Step 4: Simplify right side
    389,915,428x = 733,357,163,013,013,504
  5. Step 5: Solve for x
    x = 733,357,163,013,013,504/389,915,428
  6. Step 6: Final answer
    x = 1,880,810,838.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.