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Finding the Third Proportional to 216,390 and 460,428

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Solution

The third proportional to 216,390 and 460,428 is: 979,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,390 : 460,428 = 460,428 : x
  2. Step 2: Convert to fraction form
    216,390/460,428 = 460,428/x
  3. Step 3: Cross multiply
    216,390x = 460,428 × 460,428
  4. Step 4: Simplify right side
    216,390x = 211,993,943,184
  5. Step 5: Solve for x
    x = 211,993,943,184/216,390
  6. Step 6: Final answer
    x = 979,684.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.