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Finding the Third Proportional to 724,463,820 and 1,129,742,415

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Solution

The third proportional to 724,463,820 and 1,129,742,415 is: 1,761,741,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,820 : 1,129,742,415 = 1,129,742,415 : x
  2. Step 2: Convert to fraction form
    724,463,820/1,129,742,415 = 1,129,742,415/x
  3. Step 3: Cross multiply
    724,463,820x = 1,129,742,415 × 1,129,742,415
  4. Step 4: Simplify right side
    724,463,820x = 1,276,317,924,250,032,128
  5. Step 5: Solve for x
    x = 1,276,317,924,250,032,128/724,463,820
  6. Step 6: Final answer
    x = 1,761,741,427.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.