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Finding the Third Proportional to 316,293.61 and 688,743

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Solution

The third proportional to 316,293.61 and 688,743 is: 1,499,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,293.61 : 688,743 = 688,743 : x
  2. Step 2: Convert to fraction form
    316,293.61/688,743 = 688,743/x
  3. Step 3: Cross multiply
    316,293.61x = 688,743 × 688,743
  4. Step 4: Simplify right side
    316,293.61x = 474,366,920,049
  5. Step 5: Solve for x
    x = 474,366,920,049/316,293.61
  6. Step 6: Final answer
    x = 1,499,767.64

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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.