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Finding the Third Proportional to 189,319.50 and 403,897.50

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Solution

The third proportional to 189,319.50 and 403,897.50 is: 861,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,319.50 : 403,897.50 = 403,897.50 : x
  2. Step 2: Convert to fraction form
    189,319.50/403,897.50 = 403,897.50/x
  3. Step 3: Cross multiply
    189,319.50x = 403,897.50 × 403,897.50
  4. Step 4: Simplify right side
    189,319.50x = 163,133,190,506.25
  5. Step 5: Solve for x
    x = 163,133,190,506.25/189,319.50
  6. Step 6: Final answer
    x = 861,681.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.