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Finding the Third Proportional to 480,906 and 750,472.88

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Solution

The third proportional to 480,906 and 750,472.88 is: 1,171,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,906 : 750,472.88 = 750,472.88 : x
  2. Step 2: Convert to fraction form
    480,906/750,472.88 = 750,472.88/x
  3. Step 3: Cross multiply
    480,906x = 750,472.88 × 750,472.88
  4. Step 4: Simplify right side
    480,906x = 563,209,536,110.77
  5. Step 5: Solve for x
    x = 563,209,536,110.77/480,906
  6. Step 6: Final answer
    x = 1,171,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.