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Finding the Third Proportional to 338,985.84 and 512,852.55

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Solution

The third proportional to 338,985.84 and 512,852.55 is: 775,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,985.84 : 512,852.55 = 512,852.55 : x
  2. Step 2: Convert to fraction form
    338,985.84/512,852.55 = 512,852.55/x
  3. Step 3: Cross multiply
    338,985.84x = 512,852.55 × 512,852.55
  4. Step 4: Simplify right side
    338,985.84x = 263,017,742,849.50
  5. Step 5: Solve for x
    x = 263,017,742,849.50/338,985.84
  6. Step 6: Final answer
    x = 775,895.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.