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Finding the Third Proportional to 42,975,378 and 66,641,643

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Solution

The third proportional to 42,975,378 and 66,641,643 is: 103,340,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,975,378 : 66,641,643 = 66,641,643 : x
  2. Step 2: Convert to fraction form
    42,975,378/66,641,643 = 66,641,643/x
  3. Step 3: Cross multiply
    42,975,378x = 66,641,643 × 66,641,643
  4. Step 4: Simplify right side
    42,975,378x = 4,441,108,581,739,449
  5. Step 5: Solve for x
    x = 4,441,108,581,739,449/42,975,378
  6. Step 6: Final answer
    x = 103,340,768.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.