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Finding the Third Proportional to 418,918.50 and 663,643.13

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Solution

The third proportional to 418,918.50 and 663,643.13 is: 1,051,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,918.50 : 663,643.13 = 663,643.13 : x
  2. Step 2: Convert to fraction form
    418,918.50/663,643.13 = 663,643.13/x
  3. Step 3: Cross multiply
    418,918.50x = 663,643.13 × 663,643.13
  4. Step 4: Simplify right side
    418,918.50x = 440,422,197,359.77
  5. Step 5: Solve for x
    x = 440,422,197,359.77/418,918.50
  6. Step 6: Final answer
    x = 1,051,331.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.