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Finding the Third Proportional to 145,572 and 318,210

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Solution

The third proportional to 145,572 and 318,210 is: 695,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572 : 318,210 = 318,210 : x
  2. Step 2: Convert to fraction form
    145,572/318,210 = 318,210/x
  3. Step 3: Cross multiply
    145,572x = 318,210 × 318,210
  4. Step 4: Simplify right side
    145,572x = 101,257,604,100
  5. Step 5: Solve for x
    x = 101,257,604,100/145,572
  6. Step 6: Final answer
    x = 695,584.34

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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.