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Finding the Third Proportional to 251,985.94 and 390,166.88

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Solution

The third proportional to 251,985.94 and 390,166.88 is: 604,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,985.94 : 390,166.88 = 390,166.88 : x
  2. Step 2: Convert to fraction form
    251,985.94/390,166.88 = 390,166.88/x
  3. Step 3: Cross multiply
    251,985.94x = 390,166.88 × 390,166.88
  4. Step 4: Simplify right side
    251,985.94x = 152,230,190,347.27
  5. Step 5: Solve for x
    x = 152,230,190,347.27/251,985.94
  6. Step 6: Final answer
    x = 604,121.77

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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.