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Finding the Third Proportional to 61,293,208 and 91,408,290

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Solution

The third proportional to 61,293,208 and 91,408,290 is: 136,319,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293,208 : 91,408,290 = 91,408,290 : x
  2. Step 2: Convert to fraction form
    61,293,208/91,408,290 = 91,408,290/x
  3. Step 3: Cross multiply
    61,293,208x = 91,408,290 × 91,408,290
  4. Step 4: Simplify right side
    61,293,208x = 8,355,475,480,724,100
  5. Step 5: Solve for x
    x = 8,355,475,480,724,100/61,293,208
  6. Step 6: Final answer
    x = 136,319,761.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.