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Finding the Third Proportional to 139,528 and 310,052

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Solution

The third proportional to 139,528 and 310,052 is: 688,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,528 : 310,052 = 310,052 : x
  2. Step 2: Convert to fraction form
    139,528/310,052 = 310,052/x
  3. Step 3: Cross multiply
    139,528x = 310,052 × 310,052
  4. Step 4: Simplify right side
    139,528x = 96,132,242,704
  5. Step 5: Solve for x
    x = 96,132,242,704/139,528
  6. Step 6: Final answer
    x = 688,981.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.