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Finding the Third Proportional to 313,009,360 and 686,484,832

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Solution

The third proportional to 313,009,360 and 686,484,832 is: 1,505,582,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009,360 : 686,484,832 = 686,484,832 : x
  2. Step 2: Convert to fraction form
    313,009,360/686,484,832 = 686,484,832/x
  3. Step 3: Cross multiply
    313,009,360x = 686,484,832 × 686,484,832
  4. Step 4: Simplify right side
    313,009,360x = 471,261,424,566,068,224
  5. Step 5: Solve for x
    x = 471,261,424,566,068,224/313,009,360
  6. Step 6: Final answer
    x = 1,505,582,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.