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Finding the Third Proportional to 30,742,440 and 66,043,560

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Solution

The third proportional to 30,742,440 and 66,043,560 is: 141,880,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742,440 : 66,043,560 = 66,043,560 : x
  2. Step 2: Convert to fraction form
    30,742,440/66,043,560 = 66,043,560/x
  3. Step 3: Cross multiply
    30,742,440x = 66,043,560 × 66,043,560
  4. Step 4: Simplify right side
    30,742,440x = 4,361,751,817,473,600
  5. Step 5: Solve for x
    x = 4,361,751,817,473,600/30,742,440
  6. Step 6: Final answer
    x = 141,880,469.39

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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.