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Finding the Third Proportional to 412,628 and 904,904

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Solution

The third proportional to 412,628 and 904,904 is: 1,984,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,628 : 904,904 = 904,904 : x
  2. Step 2: Convert to fraction form
    412,628/904,904 = 904,904/x
  3. Step 3: Cross multiply
    412,628x = 904,904 × 904,904
  4. Step 4: Simplify right side
    412,628x = 818,851,249,216
  5. Step 5: Solve for x
    x = 818,851,249,216/412,628
  6. Step 6: Final answer
    x = 1,984,478.15

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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.