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Finding the Third Proportional to 788,300 and 1,202,132.50

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Solution

The third proportional to 788,300 and 1,202,132.50 is: 1,833,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,300 : 1,202,132.50 = 1,202,132.50 : x
  2. Step 2: Convert to fraction form
    788,300/1,202,132.50 = 1,202,132.50/x
  3. Step 3: Cross multiply
    788,300x = 1,202,132.50 × 1,202,132.50
  4. Step 4: Simplify right side
    788,300x = 1,445,122,547,556.25
  5. Step 5: Solve for x
    x = 1,445,122,547,556.25/788,300
  6. Step 6: Final answer
    x = 1,833,213.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.