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Finding the Third Proportional to 315,117 and 472,905

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Solution

The third proportional to 315,117 and 472,905 is: 709,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,117 : 472,905 = 472,905 : x
  2. Step 2: Convert to fraction form
    315,117/472,905 = 472,905/x
  3. Step 3: Cross multiply
    315,117x = 472,905 × 472,905
  4. Step 4: Simplify right side
    315,117x = 223,639,139,025
  5. Step 5: Solve for x
    x = 223,639,139,025/315,117
  6. Step 6: Final answer
    x = 709,701.92

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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.