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Finding the Third Proportional to 459,123.75 and 712,660.50

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Solution

The third proportional to 459,123.75 and 712,660.50 is: 1,106,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,123.75 : 712,660.50 = 712,660.50 : x
  2. Step 2: Convert to fraction form
    459,123.75/712,660.50 = 712,660.50/x
  3. Step 3: Cross multiply
    459,123.75x = 712,660.50 × 712,660.50
  4. Step 4: Simplify right side
    459,123.75x = 507,884,988,260.25
  5. Step 5: Solve for x
    x = 507,884,988,260.25/459,123.75
  6. Step 6: Final answer
    x = 1,106,205.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.