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Finding the Third Proportional to 316,273.63 and 688,703

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Solution

The third proportional to 316,273.63 and 688,703 is: 1,499,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,273.63 : 688,703 = 688,703 : x
  2. Step 2: Convert to fraction form
    316,273.63/688,703 = 688,703/x
  3. Step 3: Cross multiply
    316,273.63x = 688,703 × 688,703
  4. Step 4: Simplify right side
    316,273.63x = 474,311,822,209
  5. Step 5: Solve for x
    x = 474,311,822,209/316,273.63
  6. Step 6: Final answer
    x = 1,499,688.20

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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.