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Finding the Third Proportional to 407,018 and 884,090

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Solution

The third proportional to 407,018 and 884,090 is: 1,920,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,018 : 884,090 = 884,090 : x
  2. Step 2: Convert to fraction form
    407,018/884,090 = 884,090/x
  3. Step 3: Cross multiply
    407,018x = 884,090 × 884,090
  4. Step 4: Simplify right side
    407,018x = 781,615,128,100
  5. Step 5: Solve for x
    x = 781,615,128,100/407,018
  6. Step 6: Final answer
    x = 1,920,345.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.