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Finding the Third Proportional to 410,430,496 and 902,946,281.50

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Solution

The third proportional to 410,430,496 and 902,946,281.50 is: 1,986,480,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,430,496 : 902,946,281.50 = 902,946,281.50 : x
  2. Step 2: Convert to fraction form
    410,430,496/902,946,281.50 = 902,946,281.50/x
  3. Step 3: Cross multiply
    410,430,496x = 902,946,281.50 × 902,946,281.50
  4. Step 4: Simplify right side
    410,430,496x = 815,311,987,274,677,248
  5. Step 5: Solve for x
    x = 815,311,987,274,677,248/410,430,496
  6. Step 6: Final answer
    x = 1,986,480,037.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.