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Finding the Third Proportional to 345,429.56 and 508,269.94

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Solution

The third proportional to 345,429.56 and 508,269.94 is: 747,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,429.56 : 508,269.94 = 508,269.94 : x
  2. Step 2: Convert to fraction form
    345,429.56/508,269.94 = 508,269.94/x
  3. Step 3: Cross multiply
    345,429.56x = 508,269.94 × 508,269.94
  4. Step 4: Simplify right side
    345,429.56x = 258,338,329,366.25
  5. Step 5: Solve for x
    x = 258,338,329,366.25/345,429.56
  6. Step 6: Final answer
    x = 747,875.57

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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.