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Finding the Third Proportional to 561,494,413.50 and 872,861,637

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Solution

The third proportional to 561,494,413.50 and 872,861,637 is: 1,356,892,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,494,413.50 : 872,861,637 = 872,861,637 : x
  2. Step 2: Convert to fraction form
    561,494,413.50/872,861,637 = 872,861,637/x
  3. Step 3: Cross multiply
    561,494,413.50x = 872,861,637 × 872,861,637
  4. Step 4: Simplify right side
    561,494,413.50x = 761,887,437,346,319,744
  5. Step 5: Solve for x
    x = 761,887,437,346,319,744/561,494,413.50
  6. Step 6: Final answer
    x = 1,356,892,284.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.