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Finding the Third Proportional to 338,040 and 526,459.50

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Solution

The third proportional to 338,040 and 526,459.50 is: 819,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,040 : 526,459.50 = 526,459.50 : x
  2. Step 2: Convert to fraction form
    338,040/526,459.50 = 526,459.50/x
  3. Step 3: Cross multiply
    338,040x = 526,459.50 × 526,459.50
  4. Step 4: Simplify right side
    338,040x = 277,159,605,140.25
  5. Step 5: Solve for x
    x = 277,159,605,140.25/338,040
  6. Step 6: Final answer
    x = 819,901.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.