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Finding the Third Proportional to 30,991,070.81 and 67,562,279.72

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Solution

The third proportional to 30,991,070.81 and 67,562,279.72 is: 147,289,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991,070.81 : 67,562,279.72 = 67,562,279.72 : x
  2. Step 2: Convert to fraction form
    30,991,070.81/67,562,279.72 = 67,562,279.72/x
  3. Step 3: Cross multiply
    30,991,070.81x = 67,562,279.72 × 67,562,279.72
  4. Step 4: Simplify right side
    30,991,070.81x = 4,564,661,640,794,618
  5. Step 5: Solve for x
    x = 4,564,661,640,794,618/30,991,070.81
  6. Step 6: Final answer
    x = 147,289,574.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.