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Finding the Third Proportional to 448,528 and 530,448

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Solution

The third proportional to 448,528 and 530,448 is: 627,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,528 : 530,448 = 530,448 : x
  2. Step 2: Convert to fraction form
    448,528/530,448 = 530,448/x
  3. Step 3: Cross multiply
    448,528x = 530,448 × 530,448
  4. Step 4: Simplify right side
    448,528x = 281,375,080,704
  5. Step 5: Solve for x
    x = 281,375,080,704/448,528
  6. Step 6: Final answer
    x = 627,330.02

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.