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Finding the Third Proportional to 463,833 and 705,487.50

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Solution

The third proportional to 463,833 and 705,487.50 is: 1,073,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,833 : 705,487.50 = 705,487.50 : x
  2. Step 2: Convert to fraction form
    463,833/705,487.50 = 705,487.50/x
  3. Step 3: Cross multiply
    463,833x = 705,487.50 × 705,487.50
  4. Step 4: Simplify right side
    463,833x = 497,712,612,656.25
  5. Step 5: Solve for x
    x = 497,712,612,656.25/463,833
  6. Step 6: Final answer
    x = 1,073,042.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.