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Finding the Third Proportional to 242,688 and 367,428

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Solution

The third proportional to 242,688 and 367,428 is: 556,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,688 : 367,428 = 367,428 : x
  2. Step 2: Convert to fraction form
    242,688/367,428 = 367,428/x
  3. Step 3: Cross multiply
    242,688x = 367,428 × 367,428
  4. Step 4: Simplify right side
    242,688x = 135,003,335,184
  5. Step 5: Solve for x
    x = 135,003,335,184/242,688
  6. Step 6: Final answer
    x = 556,283.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.