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Finding the Third Proportional to 864,617 and 1,299,710

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Solution

The third proportional to 864,617 and 1,299,710 is: 1,953,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,617 : 1,299,710 = 1,299,710 : x
  2. Step 2: Convert to fraction form
    864,617/1,299,710 = 1,299,710/x
  3. Step 3: Cross multiply
    864,617x = 1,299,710 × 1,299,710
  4. Step 4: Simplify right side
    864,617x = 1,689,246,084,100
  5. Step 5: Solve for x
    x = 1,689,246,084,100/864,617
  6. Step 6: Final answer
    x = 1,953,750.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.