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Finding the Third Proportional to 452,416 and 678,648

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Solution

The third proportional to 452,416 and 678,648 is: 1,018,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,416 : 678,648 = 678,648 : x
  2. Step 2: Convert to fraction form
    452,416/678,648 = 678,648/x
  3. Step 3: Cross multiply
    452,416x = 678,648 × 678,648
  4. Step 4: Simplify right side
    452,416x = 460,563,107,904
  5. Step 5: Solve for x
    x = 460,563,107,904/452,416
  6. Step 6: Final answer
    x = 1,018,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.