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Finding the Third Proportional to 191,712 and 411,072

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Solution

The third proportional to 191,712 and 411,072 is: 881,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,712 : 411,072 = 411,072 : x
  2. Step 2: Convert to fraction form
    191,712/411,072 = 411,072/x
  3. Step 3: Cross multiply
    191,712x = 411,072 × 411,072
  4. Step 4: Simplify right side
    191,712x = 168,980,189,184
  5. Step 5: Solve for x
    x = 168,980,189,184/191,712
  6. Step 6: Final answer
    x = 881,427.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.