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Finding the Third Proportional to 319,646.25 and 678,712.50

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Solution

The third proportional to 319,646.25 and 678,712.50 is: 1,441,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,646.25 : 678,712.50 = 678,712.50 : x
  2. Step 2: Convert to fraction form
    319,646.25/678,712.50 = 678,712.50/x
  3. Step 3: Cross multiply
    319,646.25x = 678,712.50 × 678,712.50
  4. Step 4: Simplify right side
    319,646.25x = 460,650,657,656.25
  5. Step 5: Solve for x
    x = 460,650,657,656.25/319,646.25
  6. Step 6: Final answer
    x = 1,441,126.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.