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Finding the Third Proportional to 535,335 and 788,206.50

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Solution

The third proportional to 535,335 and 788,206.50 is: 1,160,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,335 : 788,206.50 = 788,206.50 : x
  2. Step 2: Convert to fraction form
    535,335/788,206.50 = 788,206.50/x
  3. Step 3: Cross multiply
    535,335x = 788,206.50 × 788,206.50
  4. Step 4: Simplify right side
    535,335x = 621,269,486,642.25
  5. Step 5: Solve for x
    x = 621,269,486,642.25/535,335
  6. Step 6: Final answer
    x = 1,160,524.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.