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Finding the Third Proportional to 99,985 and 216,913

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Solution

The third proportional to 99,985 and 216,913 is: 470,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,985 : 216,913 = 216,913 : x
  2. Step 2: Convert to fraction form
    99,985/216,913 = 216,913/x
  3. Step 3: Cross multiply
    99,985x = 216,913 × 216,913
  4. Step 4: Simplify right side
    99,985x = 47,051,249,569
  5. Step 5: Solve for x
    x = 47,051,249,569/99,985
  6. Step 6: Final answer
    x = 470,583.08

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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.