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Finding the Third Proportional to 652,140 and 972,193.50

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Solution

The third proportional to 652,140 and 972,193.50 is: 1,449,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,140 : 972,193.50 = 972,193.50 : x
  2. Step 2: Convert to fraction form
    652,140/972,193.50 = 972,193.50/x
  3. Step 3: Cross multiply
    652,140x = 972,193.50 × 972,193.50
  4. Step 4: Simplify right side
    652,140x = 945,160,201,442.25
  5. Step 5: Solve for x
    x = 945,160,201,442.25/652,140
  6. Step 6: Final answer
    x = 1,449,321.01

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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.