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Finding the Third Proportional to 553,156.88 and 854,301.09

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Solution

The third proportional to 553,156.88 and 854,301.09 is: 1,319,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,156.88 : 854,301.09 = 854,301.09 : x
  2. Step 2: Convert to fraction form
    553,156.88/854,301.09 = 854,301.09/x
  3. Step 3: Cross multiply
    553,156.88x = 854,301.09 × 854,301.09
  4. Step 4: Simplify right side
    553,156.88x = 729,830,358,782.45
  5. Step 5: Solve for x
    x = 729,830,358,782.45/553,156.88
  6. Step 6: Final answer
    x = 1,319,391.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.