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Finding the Third Proportional to 830,430 and 1,241,320.50

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Solution

The third proportional to 830,430 and 1,241,320.50 is: 1,855,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,430 : 1,241,320.50 = 1,241,320.50 : x
  2. Step 2: Convert to fraction form
    830,430/1,241,320.50 = 1,241,320.50/x
  3. Step 3: Cross multiply
    830,430x = 1,241,320.50 × 1,241,320.50
  4. Step 4: Simplify right side
    830,430x = 1,540,876,583,720.25
  5. Step 5: Solve for x
    x = 1,540,876,583,720.25/830,430
  6. Step 6: Final answer
    x = 1,855,516.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.