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Finding the Third Proportional to 390,188 and 583,618

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Solution

The third proportional to 390,188 and 583,618 is: 872,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,188 : 583,618 = 583,618 : x
  2. Step 2: Convert to fraction form
    390,188/583,618 = 583,618/x
  3. Step 3: Cross multiply
    390,188x = 583,618 × 583,618
  4. Step 4: Simplify right side
    390,188x = 340,609,969,924
  5. Step 5: Solve for x
    x = 340,609,969,924/390,188
  6. Step 6: Final answer
    x = 872,938.10

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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.