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Finding the Third Proportional to 357,615 and 781,663.50

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Solution

The third proportional to 357,615 and 781,663.50 is: 1,708,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,615 : 781,663.50 = 781,663.50 : x
  2. Step 2: Convert to fraction form
    357,615/781,663.50 = 781,663.50/x
  3. Step 3: Cross multiply
    357,615x = 781,663.50 × 781,663.50
  4. Step 4: Simplify right side
    357,615x = 610,997,827,232.25
  5. Step 5: Solve for x
    x = 610,997,827,232.25/357,615
  6. Step 6: Final answer
    x = 1,708,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.