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Finding the Third Proportional to 631,661.50 and 971,889.50

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Solution

The third proportional to 631,661.50 and 971,889.50 is: 1,495,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,661.50 : 971,889.50 = 971,889.50 : x
  2. Step 2: Convert to fraction form
    631,661.50/971,889.50 = 971,889.50/x
  3. Step 3: Cross multiply
    631,661.50x = 971,889.50 × 971,889.50
  4. Step 4: Simplify right side
    631,661.50x = 944,569,200,210.25
  5. Step 5: Solve for x
    x = 944,569,200,210.25/631,661.50
  6. Step 6: Final answer
    x = 1,495,372.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.