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Finding the Third Proportional to 787,386 and 1,221,545

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Solution

The third proportional to 787,386 and 1,221,545 is: 1,895,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,386 : 1,221,545 = 1,221,545 : x
  2. Step 2: Convert to fraction form
    787,386/1,221,545 = 1,221,545/x
  3. Step 3: Cross multiply
    787,386x = 1,221,545 × 1,221,545
  4. Step 4: Simplify right side
    787,386x = 1,492,172,187,025
  5. Step 5: Solve for x
    x = 1,492,172,187,025/787,386
  6. Step 6: Final answer
    x = 1,895,096.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.