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Finding the Third Proportional to 122,737,060 and 264,603,080

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Solution

The third proportional to 122,737,060 and 264,603,080 is: 570,445,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,737,060 : 264,603,080 = 264,603,080 : x
  2. Step 2: Convert to fraction form
    122,737,060/264,603,080 = 264,603,080/x
  3. Step 3: Cross multiply
    122,737,060x = 264,603,080 × 264,603,080
  4. Step 4: Simplify right side
    122,737,060x = 70,014,789,945,486,400
  5. Step 5: Solve for x
    x = 70,014,789,945,486,400/122,737,060
  6. Step 6: Final answer
    x = 570,445,389.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.