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Finding the Third Proportional to 369,215 and 553,207

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Solution

The third proportional to 369,215 and 553,207 is: 828,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,215 : 553,207 = 553,207 : x
  2. Step 2: Convert to fraction form
    369,215/553,207 = 553,207/x
  3. Step 3: Cross multiply
    369,215x = 553,207 × 553,207
  4. Step 4: Simplify right side
    369,215x = 306,037,984,849
  5. Step 5: Solve for x
    x = 306,037,984,849/369,215
  6. Step 6: Final answer
    x = 828,888.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.