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Finding the Third Proportional to 389,557,845 and 583,108,159.50

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Solution

The third proportional to 389,557,845 and 583,108,159.50 is: 872,823,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,557,845 : 583,108,159.50 = 583,108,159.50 : x
  2. Step 2: Convert to fraction form
    389,557,845/583,108,159.50 = 583,108,159.50/x
  3. Step 3: Cross multiply
    389,557,845x = 583,108,159.50 × 583,108,159.50
  4. Step 4: Simplify right side
    389,557,845x = 340,015,125,675,477,440
  5. Step 5: Solve for x
    x = 340,015,125,675,477,440/389,557,845
  6. Step 6: Final answer
    x = 872,823,202.10

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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.