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Finding the Third Proportional to 496,737 and 786,901.50

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Solution

The third proportional to 496,737 and 786,901.50 is: 1,246,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,737 : 786,901.50 = 786,901.50 : x
  2. Step 2: Convert to fraction form
    496,737/786,901.50 = 786,901.50/x
  3. Step 3: Cross multiply
    496,737x = 786,901.50 × 786,901.50
  4. Step 4: Simplify right side
    496,737x = 619,213,970,702.25
  5. Step 5: Solve for x
    x = 619,213,970,702.25/496,737
  6. Step 6: Final answer
    x = 1,246,563.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.