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Finding the Third Proportional to 387,913,712.50 and 581,303,129.50

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Solution

The third proportional to 387,913,712.50 and 581,303,129.50 is: 871,104,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,913,712.50 : 581,303,129.50 = 581,303,129.50 : x
  2. Step 2: Convert to fraction form
    387,913,712.50/581,303,129.50 = 581,303,129.50/x
  3. Step 3: Cross multiply
    387,913,712.50x = 581,303,129.50 × 581,303,129.50
  4. Step 4: Simplify right side
    387,913,712.50x = 337,913,328,366,493,760
  5. Step 5: Solve for x
    x = 337,913,328,366,493,760/387,913,712.50
  6. Step 6: Final answer
    x = 871,104,365.42

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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.