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Finding the Third Proportional to 491,680 and 742,018

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Solution

The third proportional to 491,680 and 742,018 is: 1,119,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,680 : 742,018 = 742,018 : x
  2. Step 2: Convert to fraction form
    491,680/742,018 = 742,018/x
  3. Step 3: Cross multiply
    491,680x = 742,018 × 742,018
  4. Step 4: Simplify right side
    491,680x = 550,590,712,324
  5. Step 5: Solve for x
    x = 550,590,712,324/491,680
  6. Step 6: Final answer
    x = 1,119,815.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.