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Finding the Third Proportional to 30,697,038 and 66,039,264

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Solution

The third proportional to 30,697,038 and 66,039,264 is: 142,071,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697,038 : 66,039,264 = 66,039,264 : x
  2. Step 2: Convert to fraction form
    30,697,038/66,039,264 = 66,039,264/x
  3. Step 3: Cross multiply
    30,697,038x = 66,039,264 × 66,039,264
  4. Step 4: Simplify right side
    30,697,038x = 4,361,184,389,661,696
  5. Step 5: Solve for x
    x = 4,361,184,389,661,696/30,697,038
  6. Step 6: Final answer
    x = 142,071,830.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.