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Finding the Third Proportional to 338,657.50 and 740,283

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Solution

The third proportional to 338,657.50 and 740,283 is: 1,618,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,657.50 : 740,283 = 740,283 : x
  2. Step 2: Convert to fraction form
    338,657.50/740,283 = 740,283/x
  3. Step 3: Cross multiply
    338,657.50x = 740,283 × 740,283
  4. Step 4: Simplify right side
    338,657.50x = 548,018,920,089
  5. Step 5: Solve for x
    x = 548,018,920,089/338,657.50
  6. Step 6: Final answer
    x = 1,618,209.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.