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Finding the Third Proportional to 145,528 and 318,104

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Solution

The third proportional to 145,528 and 318,104 is: 695,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,528 : 318,104 = 318,104 : x
  2. Step 2: Convert to fraction form
    145,528/318,104 = 318,104/x
  3. Step 3: Cross multiply
    145,528x = 318,104 × 318,104
  4. Step 4: Simplify right side
    145,528x = 101,190,154,816
  5. Step 5: Solve for x
    x = 101,190,154,816/145,528
  6. Step 6: Final answer
    x = 695,331.17

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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.