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Finding the Third Proportional to 90,584,819,766 and 135,091,688,480

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Solution

The third proportional to 90,584,819,766 and 135,091,688,480 is: 201,466,033,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,584,819,766 : 135,091,688,480 = 135,091,688,480 : x
  2. Step 2: Convert to fraction form
    90,584,819,766/135,091,688,480 = 135,091,688,480/x
  3. Step 3: Cross multiply
    90,584,819,766x = 135,091,688,480 × 135,091,688,480
  4. Step 4: Simplify right side
    90,584,819,766x = 18,249,764,296,377,365,430,272
  5. Step 5: Solve for x
    x = 18,249,764,296,377,365,430,272/90,584,819,766
  6. Step 6: Final answer
    x = 201,466,033,089.43

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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.