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Finding the Third Proportional to 357,430 and 555,747

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Solution

The third proportional to 357,430 and 555,747 is: 864,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430 : 555,747 = 555,747 : x
  2. Step 2: Convert to fraction form
    357,430/555,747 = 555,747/x
  3. Step 3: Cross multiply
    357,430x = 555,747 × 555,747
  4. Step 4: Simplify right side
    357,430x = 308,854,728,009
  5. Step 5: Solve for x
    x = 308,854,728,009/357,430
  6. Step 6: Final answer
    x = 864,098.50

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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.