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Finding the Third Proportional to 530,667 and 840,271.50

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Solution

The third proportional to 530,667 and 840,271.50 is: 1,330,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,667 : 840,271.50 = 840,271.50 : x
  2. Step 2: Convert to fraction form
    530,667/840,271.50 = 840,271.50/x
  3. Step 3: Cross multiply
    530,667x = 840,271.50 × 840,271.50
  4. Step 4: Simplify right side
    530,667x = 706,056,193,712.25
  5. Step 5: Solve for x
    x = 706,056,193,712.25/530,667
  6. Step 6: Final answer
    x = 1,330,507.07

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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.