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Finding the Third Proportional to 278,032.50 and 424,838.25

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Solution

The third proportional to 278,032.50 and 424,838.25 is: 649,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,032.50 : 424,838.25 = 424,838.25 : x
  2. Step 2: Convert to fraction form
    278,032.50/424,838.25 = 424,838.25/x
  3. Step 3: Cross multiply
    278,032.50x = 424,838.25 × 424,838.25
  4. Step 4: Simplify right side
    278,032.50x = 180,487,538,663.06
  5. Step 5: Solve for x
    x = 180,487,538,663.06/278,032.50
  6. Step 6: Final answer
    x = 649,159.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.