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Finding the Third Proportional to 213,687 and 457,020

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Solution

The third proportional to 213,687 and 457,020 is: 977,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,687 : 457,020 = 457,020 : x
  2. Step 2: Convert to fraction form
    213,687/457,020 = 457,020/x
  3. Step 3: Cross multiply
    213,687x = 457,020 × 457,020
  4. Step 4: Simplify right side
    213,687x = 208,867,280,400
  5. Step 5: Solve for x
    x = 208,867,280,400/213,687
  6. Step 6: Final answer
    x = 977,444.96

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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.