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Finding the Third Proportional to 314,421 and 678,657

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Solution

The third proportional to 314,421 and 678,657 is: 1,464,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,421 : 678,657 = 678,657 : x
  2. Step 2: Convert to fraction form
    314,421/678,657 = 678,657/x
  3. Step 3: Cross multiply
    314,421x = 678,657 × 678,657
  4. Step 4: Simplify right side
    314,421x = 460,575,323,649
  5. Step 5: Solve for x
    x = 460,575,323,649/314,421
  6. Step 6: Final answer
    x = 1,464,836.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.