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Finding the Third Proportional to 314,307.84 and 678,835.69

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Solution

The third proportional to 314,307.84 and 678,835.69 is: 1,466,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,307.84 : 678,835.69 = 678,835.69 : x
  2. Step 2: Convert to fraction form
    314,307.84/678,835.69 = 678,835.69/x
  3. Step 3: Cross multiply
    314,307.84x = 678,835.69 × 678,835.69
  4. Step 4: Simplify right side
    314,307.84x = 460,817,890,623.60
  5. Step 5: Solve for x
    x = 460,817,890,623.60/314,307.84
  6. Step 6: Final answer
    x = 1,466,135.51

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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.