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Finding the Third Proportional to 684,448,663.50 and 1,478,005,299

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Solution

The third proportional to 684,448,663.50 and 1,478,005,299 is: 3,191,619,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,448,663.50 : 1,478,005,299 = 1,478,005,299 : x
  2. Step 2: Convert to fraction form
    684,448,663.50/1,478,005,299 = 1,478,005,299/x
  3. Step 3: Cross multiply
    684,448,663.50x = 1,478,005,299 × 1,478,005,299
  4. Step 4: Simplify right side
    684,448,663.50x = 2,184,499,663,872,079,360
  5. Step 5: Solve for x
    x = 2,184,499,663,872,079,360/684,448,663.50
  6. Step 6: Final answer
    x = 3,191,619,445.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.