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Finding the Third Proportional to 30,336,289 and 66,348,019

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Solution

The third proportional to 30,336,289 and 66,348,019 is: 145,108,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336,289 : 66,348,019 = 66,348,019 : x
  2. Step 2: Convert to fraction form
    30,336,289/66,348,019 = 66,348,019/x
  3. Step 3: Cross multiply
    30,336,289x = 66,348,019 × 66,348,019
  4. Step 4: Simplify right side
    30,336,289x = 4,402,059,625,224,361
  5. Step 5: Solve for x
    x = 4,402,059,625,224,361/30,336,289
  6. Step 6: Final answer
    x = 145,108,705.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.