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Finding the Third Proportional to 319,513.50 and 705,487.50

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Solution

The third proportional to 319,513.50 and 705,487.50 is: 1,557,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,513.50 : 705,487.50 = 705,487.50 : x
  2. Step 2: Convert to fraction form
    319,513.50/705,487.50 = 705,487.50/x
  3. Step 3: Cross multiply
    319,513.50x = 705,487.50 × 705,487.50
  4. Step 4: Simplify right side
    319,513.50x = 497,712,612,656.25
  5. Step 5: Solve for x
    x = 497,712,612,656.25/319,513.50
  6. Step 6: Final answer
    x = 1,557,720.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.