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Finding the Third Proportional to 403,460 and 586,272

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Solution

The third proportional to 403,460 and 586,272 is: 851,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,460 : 586,272 = 586,272 : x
  2. Step 2: Convert to fraction form
    403,460/586,272 = 586,272/x
  3. Step 3: Cross multiply
    403,460x = 586,272 × 586,272
  4. Step 4: Simplify right side
    403,460x = 343,714,857,984
  5. Step 5: Solve for x
    x = 343,714,857,984/403,460
  6. Step 6: Final answer
    x = 851,918.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.