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Finding the Third Proportional to 319,784 and 692,560

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Solution

The third proportional to 319,784 and 692,560 is: 1,499,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,784 : 692,560 = 692,560 : x
  2. Step 2: Convert to fraction form
    319,784/692,560 = 692,560/x
  3. Step 3: Cross multiply
    319,784x = 692,560 × 692,560
  4. Step 4: Simplify right side
    319,784x = 479,639,353,600
  5. Step 5: Solve for x
    x = 479,639,353,600/319,784
  6. Step 6: Final answer
    x = 1,499,885.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.