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Finding the Third Proportional to 578,426 and 1,289,656

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Solution

The third proportional to 578,426 and 1,289,656 is: 2,875,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,426 : 1,289,656 = 1,289,656 : x
  2. Step 2: Convert to fraction form
    578,426/1,289,656 = 1,289,656/x
  3. Step 3: Cross multiply
    578,426x = 1,289,656 × 1,289,656
  4. Step 4: Simplify right side
    578,426x = 1,663,212,598,336
  5. Step 5: Solve for x
    x = 1,663,212,598,336/578,426
  6. Step 6: Final answer
    x = 2,875,411.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.