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Finding the Third Proportional to 508,178 and 747,043

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Solution

The third proportional to 508,178 and 747,043 is: 1,098,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,178 : 747,043 = 747,043 : x
  2. Step 2: Convert to fraction form
    508,178/747,043 = 747,043/x
  3. Step 3: Cross multiply
    508,178x = 747,043 × 747,043
  4. Step 4: Simplify right side
    508,178x = 558,073,243,849
  5. Step 5: Solve for x
    x = 558,073,243,849/508,178
  6. Step 6: Final answer
    x = 1,098,184.58

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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.