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Finding the Third Proportional to 357,390 and 555,688

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Solution

The third proportional to 357,390 and 555,688 is: 864,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,390 : 555,688 = 555,688 : x
  2. Step 2: Convert to fraction form
    357,390/555,688 = 555,688/x
  3. Step 3: Cross multiply
    357,390x = 555,688 × 555,688
  4. Step 4: Simplify right side
    357,390x = 308,789,153,344
  5. Step 5: Solve for x
    x = 308,789,153,344/357,390
  6. Step 6: Final answer
    x = 864,011.73

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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.