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Finding the Third Proportional to 456,470.75 and 712,342.16

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Solution

The third proportional to 456,470.75 and 712,342.16 is: 1,111,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.75 : 712,342.16 = 712,342.16 : x
  2. Step 2: Convert to fraction form
    456,470.75/712,342.16 = 712,342.16/x
  3. Step 3: Cross multiply
    456,470.75x = 712,342.16 × 712,342.16
  4. Step 4: Simplify right side
    456,470.75x = 507,431,353,136.07
  5. Step 5: Solve for x
    x = 507,431,353,136.07/456,470.75
  6. Step 6: Final answer
    x = 1,111,640.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.