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Finding the Third Proportional to 310,326.19 and 404,139.38

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Solution

The third proportional to 310,326.19 and 404,139.38 is: 526,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.19 : 404,139.38 = 404,139.38 : x
  2. Step 2: Convert to fraction form
    310,326.19/404,139.38 = 404,139.38/x
  3. Step 3: Cross multiply
    310,326.19x = 404,139.38 × 404,139.38
  4. Step 4: Simplify right side
    310,326.19x = 163,328,634,425.39
  5. Step 5: Solve for x
    x = 163,328,634,425.39/310,326.19
  6. Step 6: Final answer
    x = 526,312.77

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.