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Finding the Third Proportional to 418,905 and 904,221

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Solution

The third proportional to 418,905 and 904,221 is: 1,951,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,905 : 904,221 = 904,221 : x
  2. Step 2: Convert to fraction form
    418,905/904,221 = 904,221/x
  3. Step 3: Cross multiply
    418,905x = 904,221 × 904,221
  4. Step 4: Simplify right side
    418,905x = 817,615,616,841
  5. Step 5: Solve for x
    x = 817,615,616,841/418,905
  6. Step 6: Final answer
    x = 1,951,792.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.