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Finding the Third Proportional to 243,074 and 373,123

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Solution

The third proportional to 243,074 and 373,123 is: 572,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,074 : 373,123 = 373,123 : x
  2. Step 2: Convert to fraction form
    243,074/373,123 = 373,123/x
  3. Step 3: Cross multiply
    243,074x = 373,123 × 373,123
  4. Step 4: Simplify right side
    243,074x = 139,220,773,129
  5. Step 5: Solve for x
    x = 139,220,773,129/243,074
  6. Step 6: Final answer
    x = 572,750.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.