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Finding the Third Proportional to 316,775.81 and 689,320.13

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Solution

The third proportional to 316,775.81 and 689,320.13 is: 1,499,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,775.81 : 689,320.13 = 689,320.13 : x
  2. Step 2: Convert to fraction form
    316,775.81/689,320.13 = 689,320.13/x
  3. Step 3: Cross multiply
    316,775.81x = 689,320.13 × 689,320.13
  4. Step 4: Simplify right side
    316,775.81x = 475,162,234,730.02
  5. Step 5: Solve for x
    x = 475,162,234,730.02/316,775.81
  6. Step 6: Final answer
    x = 1,499,995.32

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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.