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Finding the Third Proportional to 429,127.88 and 915,239.25

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Solution

The third proportional to 429,127.88 and 915,239.25 is: 1,952,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,127.88 : 915,239.25 = 915,239.25 : x
  2. Step 2: Convert to fraction form
    429,127.88/915,239.25 = 915,239.25/x
  3. Step 3: Cross multiply
    429,127.88x = 915,239.25 × 915,239.25
  4. Step 4: Simplify right side
    429,127.88x = 837,662,884,740.56
  5. Step 5: Solve for x
    x = 837,662,884,740.56/429,127.88
  6. Step 6: Final answer
    x = 1,952,012.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.