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Finding the Third Proportional to 464,507 and 678,837

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Solution

The third proportional to 464,507 and 678,837 is: 992,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,507 : 678,837 = 678,837 : x
  2. Step 2: Convert to fraction form
    464,507/678,837 = 678,837/x
  3. Step 3: Cross multiply
    464,507x = 678,837 × 678,837
  4. Step 4: Simplify right side
    464,507x = 460,819,672,569
  5. Step 5: Solve for x
    x = 460,819,672,569/464,507
  6. Step 6: Final answer
    x = 992,061.85

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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.