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Finding the Third Proportional to 292,480 and 637,844

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Solution

The third proportional to 292,480 and 637,844 is: 1,391,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,480 : 637,844 = 637,844 : x
  2. Step 2: Convert to fraction form
    292,480/637,844 = 637,844/x
  3. Step 3: Cross multiply
    292,480x = 637,844 × 637,844
  4. Step 4: Simplify right side
    292,480x = 406,844,968,336
  5. Step 5: Solve for x
    x = 406,844,968,336/292,480
  6. Step 6: Final answer
    x = 1,391,018.08

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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.