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Finding the Third Proportional to 287,460 and 671,418

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Solution

The third proportional to 287,460 and 671,418 is: 1,568,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,460 : 671,418 = 671,418 : x
  2. Step 2: Convert to fraction form
    287,460/671,418 = 671,418/x
  3. Step 3: Cross multiply
    287,460x = 671,418 × 671,418
  4. Step 4: Simplify right side
    287,460x = 450,802,130,724
  5. Step 5: Solve for x
    x = 450,802,130,724/287,460
  6. Step 6: Final answer
    x = 1,568,225.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.