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Finding the Third Proportional to 316,275.75 and 688,707

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Solution

The third proportional to 316,275.75 and 688,707 is: 1,499,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,275.75 : 688,707 = 688,707 : x
  2. Step 2: Convert to fraction form
    316,275.75/688,707 = 688,707/x
  3. Step 3: Cross multiply
    316,275.75x = 688,707 × 688,707
  4. Step 4: Simplify right side
    316,275.75x = 474,317,331,849
  5. Step 5: Solve for x
    x = 474,317,331,849/316,275.75
  6. Step 6: Final answer
    x = 1,499,695.54

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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.