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Finding the Third Proportional to 420,002.63 and 987,265.13

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Solution

The third proportional to 420,002.63 and 987,265.13 is: 2,320,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,002.63 : 987,265.13 = 987,265.13 : x
  2. Step 2: Convert to fraction form
    420,002.63/987,265.13 = 987,265.13/x
  3. Step 3: Cross multiply
    420,002.63x = 987,265.13 × 987,265.13
  4. Step 4: Simplify right side
    420,002.63x = 974,692,427,041.27
  5. Step 5: Solve for x
    x = 974,692,427,041.27/420,002.63
  6. Step 6: Final answer
    x = 2,320,681.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.