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Finding the Third Proportional to 338,711.63 and 524,287.69

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Solution

The third proportional to 338,711.63 and 524,287.69 is: 811,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,711.63 : 524,287.69 = 524,287.69 : x
  2. Step 2: Convert to fraction form
    338,711.63/524,287.69 = 524,287.69/x
  3. Step 3: Cross multiply
    338,711.63x = 524,287.69 × 524,287.69
  4. Step 4: Simplify right side
    338,711.63x = 274,877,579,264.10
  5. Step 5: Solve for x
    x = 274,877,579,264.10/338,711.63
  6. Step 6: Final answer
    x = 811,538.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.