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Finding the Third Proportional to 78,210,869 and 106,509,854

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Solution

The third proportional to 78,210,869 and 106,509,854 is: 145,048,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210,869 : 106,509,854 = 106,509,854 : x
  2. Step 2: Convert to fraction form
    78,210,869/106,509,854 = 106,509,854/x
  3. Step 3: Cross multiply
    78,210,869x = 106,509,854 × 106,509,854
  4. Step 4: Simplify right side
    78,210,869x = 11,344,348,999,101,316
  5. Step 5: Solve for x
    x = 11,344,348,999,101,316/78,210,869
  6. Step 6: Final answer
    x = 145,048,241.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.