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Finding the Third Proportional to 646,078,572 and 1,409,090,566.50

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Solution

The third proportional to 646,078,572 and 1,409,090,566.50 is: 3,073,211,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,078,572 : 1,409,090,566.50 = 1,409,090,566.50 : x
  2. Step 2: Convert to fraction form
    646,078,572/1,409,090,566.50 = 1,409,090,566.50/x
  3. Step 3: Cross multiply
    646,078,572x = 1,409,090,566.50 × 1,409,090,566.50
  4. Step 4: Simplify right side
    646,078,572x = 1,985,536,224,599,290,880
  5. Step 5: Solve for x
    x = 1,985,536,224,599,290,880/646,078,572
  6. Step 6: Final answer
    x = 3,073,211,696.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.