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Finding the Third Proportional to 315,472 and 688,036

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Solution

The third proportional to 315,472 and 688,036 is: 1,500,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,472 : 688,036 = 688,036 : x
  2. Step 2: Convert to fraction form
    315,472/688,036 = 688,036/x
  3. Step 3: Cross multiply
    315,472x = 688,036 × 688,036
  4. Step 4: Simplify right side
    315,472x = 473,393,537,296
  5. Step 5: Solve for x
    x = 473,393,537,296/315,472
  6. Step 6: Final answer
    x = 1,500,588.13

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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.