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Finding the Third Proportional to 292,388 and 640,614

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Solution

The third proportional to 292,388 and 640,614 is: 1,403,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,388 : 640,614 = 640,614 : x
  2. Step 2: Convert to fraction form
    292,388/640,614 = 640,614/x
  3. Step 3: Cross multiply
    292,388x = 640,614 × 640,614
  4. Step 4: Simplify right side
    292,388x = 410,386,296,996
  5. Step 5: Solve for x
    x = 410,386,296,996/292,388
  6. Step 6: Final answer
    x = 1,403,567.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.