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Finding the Third Proportional to 453,642 and 990,297

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Solution

The third proportional to 453,642 and 990,297 is: 2,161,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,642 : 990,297 = 990,297 : x
  2. Step 2: Convert to fraction form
    453,642/990,297 = 990,297/x
  3. Step 3: Cross multiply
    453,642x = 990,297 × 990,297
  4. Step 4: Simplify right side
    453,642x = 980,688,148,209
  5. Step 5: Solve for x
    x = 980,688,148,209/453,642
  6. Step 6: Final answer
    x = 2,161,810.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.