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Finding the Third Proportional to 147,210.75 and 317,938.50

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Solution

The third proportional to 147,210.75 and 317,938.50 is: 686,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,210.75 : 317,938.50 = 317,938.50 : x
  2. Step 2: Convert to fraction form
    147,210.75/317,938.50 = 317,938.50/x
  3. Step 3: Cross multiply
    147,210.75x = 317,938.50 × 317,938.50
  4. Step 4: Simplify right side
    147,210.75x = 101,084,889,782.25
  5. Step 5: Solve for x
    x = 101,084,889,782.25/147,210.75
  6. Step 6: Final answer
    x = 686,667.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.