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Finding the Third Proportional to 371,528 and 787,216

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Solution

The third proportional to 371,528 and 787,216 is: 1,668,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,528 : 787,216 = 787,216 : x
  2. Step 2: Convert to fraction form
    371,528/787,216 = 787,216/x
  3. Step 3: Cross multiply
    371,528x = 787,216 × 787,216
  4. Step 4: Simplify right side
    371,528x = 619,709,030,656
  5. Step 5: Solve for x
    x = 619,709,030,656/371,528
  6. Step 6: Final answer
    x = 1,668,000.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.