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Finding the Third Proportional to 320,010.75 and 706,547.25

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Solution

The third proportional to 320,010.75 and 706,547.25 is: 1,559,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,010.75 : 706,547.25 = 706,547.25 : x
  2. Step 2: Convert to fraction form
    320,010.75/706,547.25 = 706,547.25/x
  3. Step 3: Cross multiply
    320,010.75x = 706,547.25 × 706,547.25
  4. Step 4: Simplify right side
    320,010.75x = 499,209,016,482.56
  5. Step 5: Solve for x
    x = 499,209,016,482.56/320,010.75
  6. Step 6: Final answer
    x = 1,559,975.77

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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.