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Finding the Third Proportional to 653,644 and 1,407,386

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Solution

The third proportional to 653,644 and 1,407,386 is: 3,030,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,644 : 1,407,386 = 1,407,386 : x
  2. Step 2: Convert to fraction form
    653,644/1,407,386 = 1,407,386/x
  3. Step 3: Cross multiply
    653,644x = 1,407,386 × 1,407,386
  4. Step 4: Simplify right side
    653,644x = 1,980,735,352,996
  5. Step 5: Solve for x
    x = 1,980,735,352,996/653,644
  6. Step 6: Final answer
    x = 3,030,296.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.