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Finding the Third Proportional to 30,497,107.50 and 67,047,643.69

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Solution

The third proportional to 30,497,107.50 and 67,047,643.69 is: 147,403,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497,107.50 : 67,047,643.69 = 67,047,643.69 : x
  2. Step 2: Convert to fraction form
    30,497,107.50/67,047,643.69 = 67,047,643.69/x
  3. Step 3: Cross multiply
    30,497,107.50x = 67,047,643.69 × 67,047,643.69
  4. Step 4: Simplify right side
    30,497,107.50x = 4,495,386,524,045,958.50
  5. Step 5: Solve for x
    x = 4,495,386,524,045,958.50/30,497,107.50
  6. Step 6: Final answer
    x = 147,403,701.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.