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Finding the Third Proportional to 287,468 and 625,270

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Solution

The third proportional to 287,468 and 625,270 is: 1,360,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,468 : 625,270 = 625,270 : x
  2. Step 2: Convert to fraction form
    287,468/625,270 = 625,270/x
  3. Step 3: Cross multiply
    287,468x = 625,270 × 625,270
  4. Step 4: Simplify right side
    287,468x = 390,962,572,900
  5. Step 5: Solve for x
    x = 390,962,572,900/287,468
  6. Step 6: Final answer
    x = 1,360,021.20

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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.