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Finding the Third Proportional to 210,442 and 450,490

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Solution

The third proportional to 210,442 and 450,490 is: 964,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442 : 450,490 = 450,490 : x
  2. Step 2: Convert to fraction form
    210,442/450,490 = 450,490/x
  3. Step 3: Cross multiply
    210,442x = 450,490 × 450,490
  4. Step 4: Simplify right side
    210,442x = 202,941,240,100
  5. Step 5: Solve for x
    x = 202,941,240,100/210,442
  6. Step 6: Final answer
    x = 964,357.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.