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Finding the Third Proportional to 213,478 and 459,943

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Solution

The third proportional to 213,478 and 459,943 is: 990,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,478 : 459,943 = 459,943 : x
  2. Step 2: Convert to fraction form
    213,478/459,943 = 459,943/x
  3. Step 3: Cross multiply
    213,478x = 459,943 × 459,943
  4. Step 4: Simplify right side
    213,478x = 211,547,563,249
  5. Step 5: Solve for x
    x = 211,547,563,249/213,478
  6. Step 6: Final answer
    x = 990,957.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.