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Finding the Third Proportional to 292,468 and 637,819

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Solution

The third proportional to 292,468 and 637,819 is: 1,390,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,468 : 637,819 = 637,819 : x
  2. Step 2: Convert to fraction form
    292,468/637,819 = 637,819/x
  3. Step 3: Cross multiply
    292,468x = 637,819 × 637,819
  4. Step 4: Simplify right side
    292,468x = 406,813,076,761
  5. Step 5: Solve for x
    x = 406,813,076,761/292,468
  6. Step 6: Final answer
    x = 1,390,966.11

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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.