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Finding the Third Proportional to 354,631.50 and 542,551.50

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Solution

The third proportional to 354,631.50 and 542,551.50 is: 830,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,631.50 : 542,551.50 = 542,551.50 : x
  2. Step 2: Convert to fraction form
    354,631.50/542,551.50 = 542,551.50/x
  3. Step 3: Cross multiply
    354,631.50x = 542,551.50 × 542,551.50
  4. Step 4: Simplify right side
    354,631.50x = 294,362,130,152.25
  5. Step 5: Solve for x
    x = 294,362,130,152.25/354,631.50
  6. Step 6: Final answer
    x = 830,050.72

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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.