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Finding the Third Proportional to 319,892.25 and 676,477.50

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Solution

The third proportional to 319,892.25 and 676,477.50 is: 1,430,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,892.25 : 676,477.50 = 676,477.50 : x
  2. Step 2: Convert to fraction form
    319,892.25/676,477.50 = 676,477.50/x
  3. Step 3: Cross multiply
    319,892.25x = 676,477.50 × 676,477.50
  4. Step 4: Simplify right side
    319,892.25x = 457,621,808,006.25
  5. Step 5: Solve for x
    x = 457,621,808,006.25/319,892.25
  6. Step 6: Final answer
    x = 1,430,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.