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Finding the Third Proportional to 316,273.31 and 688,702.25

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Solution

The third proportional to 316,273.31 and 688,702.25 is: 1,499,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,273.31 : 688,702.25 = 688,702.25 : x
  2. Step 2: Convert to fraction form
    316,273.31/688,702.25 = 688,702.25/x
  3. Step 3: Cross multiply
    316,273.31x = 688,702.25 × 688,702.25
  4. Step 4: Simplify right side
    316,273.31x = 474,310,789,155.06
  5. Step 5: Solve for x
    x = 474,310,789,155.06/316,273.31
  6. Step 6: Final answer
    x = 1,499,686.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.