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Finding the Third Proportional to 721,814,811 and 1,547,224,621.50

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Solution

The third proportional to 721,814,811 and 1,547,224,621.50 is: 3,316,507,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,814,811 : 1,547,224,621.50 = 1,547,224,621.50 : x
  2. Step 2: Convert to fraction form
    721,814,811/1,547,224,621.50 = 1,547,224,621.50/x
  3. Step 3: Cross multiply
    721,814,811x = 1,547,224,621.50 × 1,547,224,621.50
  4. Step 4: Simplify right side
    721,814,811x = 2,393,904,029,375,818,240
  5. Step 5: Solve for x
    x = 2,393,904,029,375,818,240/721,814,811
  6. Step 6: Final answer
    x = 3,316,507,216.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.