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Finding the Third Proportional to 315,467.44 and 688,030.31

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Solution

The third proportional to 315,467.44 and 688,030.31 is: 1,500,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,467.44 : 688,030.31 = 688,030.31 : x
  2. Step 2: Convert to fraction form
    315,467.44/688,030.31 = 688,030.31/x
  3. Step 3: Cross multiply
    315,467.44x = 688,030.31 × 688,030.31
  4. Step 4: Simplify right side
    315,467.44x = 473,385,710,918.85
  5. Step 5: Solve for x
    x = 473,385,710,918.85/315,467.44
  6. Step 6: Final answer
    x = 1,500,585.02

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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.