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Finding the Third Proportional to 430,304 and 631,632

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Solution

The third proportional to 430,304 and 631,632 is: 927,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,304 : 631,632 = 631,632 : x
  2. Step 2: Convert to fraction form
    430,304/631,632 = 631,632/x
  3. Step 3: Cross multiply
    430,304x = 631,632 × 631,632
  4. Step 4: Simplify right side
    430,304x = 398,958,983,424
  5. Step 5: Solve for x
    x = 398,958,983,424/430,304
  6. Step 6: Final answer
    x = 927,156.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.