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Finding the Third Proportional to 556,499.13 and 831,472.88

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Solution

The third proportional to 556,499.13 and 831,472.88 is: 1,242,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,499.13 : 831,472.88 = 831,472.88 : x
  2. Step 2: Convert to fraction form
    556,499.13/831,472.88 = 831,472.88/x
  3. Step 3: Cross multiply
    556,499.13x = 831,472.88 × 831,472.88
  4. Step 4: Simplify right side
    556,499.13x = 691,347,141,860.77
  5. Step 5: Solve for x
    x = 691,347,141,860.77/556,499.13
  6. Step 6: Final answer
    x = 1,242,314.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.