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Finding the Third Proportional to 530,631 and 840,217.50

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Solution

The third proportional to 530,631 and 840,217.50 is: 1,330,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,631 : 840,217.50 = 840,217.50 : x
  2. Step 2: Convert to fraction form
    530,631/840,217.50 = 840,217.50/x
  3. Step 3: Cross multiply
    530,631x = 840,217.50 × 840,217.50
  4. Step 4: Simplify right side
    530,631x = 705,965,447,306.25
  5. Step 5: Solve for x
    x = 705,965,447,306.25/530,631
  6. Step 6: Final answer
    x = 1,330,426.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.