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Finding the Third Proportional to 283,216,483 and 437,402,413.50

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Solution

The third proportional to 283,216,483 and 437,402,413.50 is: 675,528,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,483 : 437,402,413.50 = 437,402,413.50 : x
  2. Step 2: Convert to fraction form
    283,216,483/437,402,413.50 = 437,402,413.50/x
  3. Step 3: Cross multiply
    283,216,483x = 437,402,413.50 × 437,402,413.50
  4. Step 4: Simplify right side
    283,216,483x = 191,320,871,335,624,992
  5. Step 5: Solve for x
    x = 191,320,871,335,624,992/283,216,483
  6. Step 6: Final answer
    x = 675,528,730.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.