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Finding the Third Proportional to 342,688 and 742,582

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Solution

The third proportional to 342,688 and 742,582 is: 1,609,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,688 : 742,582 = 742,582 : x
  2. Step 2: Convert to fraction form
    342,688/742,582 = 742,582/x
  3. Step 3: Cross multiply
    342,688x = 742,582 × 742,582
  4. Step 4: Simplify right side
    342,688x = 551,428,026,724
  5. Step 5: Solve for x
    x = 551,428,026,724/342,688
  6. Step 6: Final answer
    x = 1,609,125.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.