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Finding the Third Proportional to 425,759 and 709,567.50

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Solution

The third proportional to 425,759 and 709,567.50 is: 1,182,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,759 : 709,567.50 = 709,567.50 : x
  2. Step 2: Convert to fraction form
    425,759/709,567.50 = 709,567.50/x
  3. Step 3: Cross multiply
    425,759x = 709,567.50 × 709,567.50
  4. Step 4: Simplify right side
    425,759x = 503,486,037,056.25
  5. Step 5: Solve for x
    x = 503,486,037,056.25/425,759
  6. Step 6: Final answer
    x = 1,182,561.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.