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Finding the Third Proportional to 99,516 and 216,342

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Solution

The third proportional to 99,516 and 216,342 is: 470,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,516 : 216,342 = 216,342 : x
  2. Step 2: Convert to fraction form
    99,516/216,342 = 216,342/x
  3. Step 3: Cross multiply
    99,516x = 216,342 × 216,342
  4. Step 4: Simplify right side
    99,516x = 46,803,860,964
  5. Step 5: Solve for x
    x = 46,803,860,964/99,516
  6. Step 6: Final answer
    x = 470,314.93

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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.