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Finding the Third Proportional to 316,475 and 682,430.50

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Solution

The third proportional to 316,475 and 682,430.50 is: 1,471,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,475 : 682,430.50 = 682,430.50 : x
  2. Step 2: Convert to fraction form
    316,475/682,430.50 = 682,430.50/x
  3. Step 3: Cross multiply
    316,475x = 682,430.50 × 682,430.50
  4. Step 4: Simplify right side
    316,475x = 465,711,387,330.25
  5. Step 5: Solve for x
    x = 465,711,387,330.25/316,475
  6. Step 6: Final answer
    x = 1,471,558.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.