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Finding the Third Proportional to 147,345,528 and 320,831,640

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Solution

The third proportional to 147,345,528 and 320,831,640 is: 698,582,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345,528 : 320,831,640 = 320,831,640 : x
  2. Step 2: Convert to fraction form
    147,345,528/320,831,640 = 320,831,640/x
  3. Step 3: Cross multiply
    147,345,528x = 320,831,640 × 320,831,640
  4. Step 4: Simplify right side
    147,345,528x = 102,932,941,225,089,600
  5. Step 5: Solve for x
    x = 102,932,941,225,089,600/147,345,528
  6. Step 6: Final answer
    x = 698,582,051.47

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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.