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Finding the Third Proportional to 315,468.88 and 688,033.13

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Solution

The third proportional to 315,468.88 and 688,033.13 is: 1,500,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,468.88 : 688,033.13 = 688,033.13 : x
  2. Step 2: Convert to fraction form
    315,468.88/688,033.13 = 688,033.13/x
  3. Step 3: Cross multiply
    315,468.88x = 688,033.13 × 688,033.13
  4. Step 4: Simplify right side
    315,468.88x = 473,389,581,097.27
  5. Step 5: Solve for x
    x = 473,389,581,097.27/315,468.88
  6. Step 6: Final answer
    x = 1,500,590.45

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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.