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Finding the Third Proportional to 429,724.69 and 910,675.13

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Solution

The third proportional to 429,724.69 and 910,675.13 is: 1,929,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,724.69 : 910,675.13 = 910,675.13 : x
  2. Step 2: Convert to fraction form
    429,724.69/910,675.13 = 910,675.13/x
  3. Step 3: Cross multiply
    429,724.69x = 910,675.13 × 910,675.13
  4. Step 4: Simplify right side
    429,724.69x = 829,329,183,293.77
  5. Step 5: Solve for x
    x = 829,329,183,293.77/429,724.69
  6. Step 6: Final answer
    x = 1,929,908.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.