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Finding the Third Proportional to 464,502 and 678,829

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Solution

The third proportional to 464,502 and 678,829 is: 992,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,502 : 678,829 = 678,829 : x
  2. Step 2: Convert to fraction form
    464,502/678,829 = 678,829/x
  3. Step 3: Cross multiply
    464,502x = 678,829 × 678,829
  4. Step 4: Simplify right side
    464,502x = 460,808,811,241
  5. Step 5: Solve for x
    x = 460,808,811,241/464,502
  6. Step 6: Final answer
    x = 992,049.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.