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Finding the Third Proportional to 181,009 and 390,070

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Solution

The third proportional to 181,009 and 390,070 is: 840,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,009 : 390,070 = 390,070 : x
  2. Step 2: Convert to fraction form
    181,009/390,070 = 390,070/x
  3. Step 3: Cross multiply
    181,009x = 390,070 × 390,070
  4. Step 4: Simplify right side
    181,009x = 152,154,604,900
  5. Step 5: Solve for x
    x = 152,154,604,900/181,009
  6. Step 6: Final answer
    x = 840,591.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.