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Finding the Third Proportional to 310,549 and 470,481

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Solution

The third proportional to 310,549 and 470,481 is: 712,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,549 : 470,481 = 470,481 : x
  2. Step 2: Convert to fraction form
    310,549/470,481 = 470,481/x
  3. Step 3: Cross multiply
    310,549x = 470,481 × 470,481
  4. Step 4: Simplify right side
    310,549x = 221,352,371,361
  5. Step 5: Solve for x
    x = 221,352,371,361/310,549
  6. Step 6: Final answer
    x = 712,777.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.