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Finding the Third Proportional to 32,868,619.80 and 70,134,203.11

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Solution

The third proportional to 32,868,619.80 and 70,134,203.11 is: 149,650,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868,619.80 : 70,134,203.11 = 70,134,203.11 : x
  2. Step 2: Convert to fraction form
    32,868,619.80/70,134,203.11 = 70,134,203.11/x
  3. Step 3: Cross multiply
    32,868,619.80x = 70,134,203.11 × 70,134,203.11
  4. Step 4: Simplify right side
    32,868,619.80x = 4,918,806,445,787,066
  5. Step 5: Solve for x
    x = 4,918,806,445,787,066/32,868,619.80
  6. Step 6: Final answer
    x = 149,650,532.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.