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Finding the Third Proportional to 390,480 and 646,272

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Solution

The third proportional to 390,480 and 646,272 is: 1,069,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,480 : 646,272 = 646,272 : x
  2. Step 2: Convert to fraction form
    390,480/646,272 = 646,272/x
  3. Step 3: Cross multiply
    390,480x = 646,272 × 646,272
  4. Step 4: Simplify right side
    390,480x = 417,667,497,984
  5. Step 5: Solve for x
    x = 417,667,497,984/390,480
  6. Step 6: Final answer
    x = 1,069,625.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.