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Finding the Third Proportional to 272,869.88 and 637,345.13

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Solution

The third proportional to 272,869.88 and 637,345.13 is: 1,488,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,869.88 : 637,345.13 = 637,345.13 : x
  2. Step 2: Convert to fraction form
    272,869.88/637,345.13 = 637,345.13/x
  3. Step 3: Cross multiply
    272,869.88x = 637,345.13 × 637,345.13
  4. Step 4: Simplify right side
    272,869.88x = 406,208,808,361.27
  5. Step 5: Solve for x
    x = 406,208,808,361.27/272,869.88
  6. Step 6: Final answer
    x = 1,488,653.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.