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Finding the Third Proportional to 615,618 and 925,209

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Solution

The third proportional to 615,618 and 925,209 is: 1,390,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,618 : 925,209 = 925,209 : x
  2. Step 2: Convert to fraction form
    615,618/925,209 = 925,209/x
  3. Step 3: Cross multiply
    615,618x = 925,209 × 925,209
  4. Step 4: Simplify right side
    615,618x = 856,011,693,681
  5. Step 5: Solve for x
    x = 856,011,693,681/615,618
  6. Step 6: Final answer
    x = 1,390,491.66

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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.