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Finding the Third Proportional to 210,332 and 456,340

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Solution

The third proportional to 210,332 and 456,340 is: 990,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,332 : 456,340 = 456,340 : x
  2. Step 2: Convert to fraction form
    210,332/456,340 = 456,340/x
  3. Step 3: Cross multiply
    210,332x = 456,340 × 456,340
  4. Step 4: Simplify right side
    210,332x = 208,246,195,600
  5. Step 5: Solve for x
    x = 208,246,195,600/210,332
  6. Step 6: Final answer
    x = 990,083.28

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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.