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Finding the Third Proportional to 315,467.30 and 688,030.03

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Solution

The third proportional to 315,467.30 and 688,030.03 is: 1,500,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,467.30 : 688,030.03 = 688,030.03 : x
  2. Step 2: Convert to fraction form
    315,467.30/688,030.03 = 688,030.03/x
  3. Step 3: Cross multiply
    315,467.30x = 688,030.03 × 688,030.03
  4. Step 4: Simplify right side
    315,467.30x = 473,385,323,901.88
  5. Step 5: Solve for x
    x = 473,385,323,901.88/315,467.30
  6. Step 6: Final answer
    x = 1,500,584.46

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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.