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Finding the Third Proportional to 157,584 and 340,428

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Solution

The third proportional to 157,584 and 340,428 is: 735,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584 : 340,428 = 340,428 : x
  2. Step 2: Convert to fraction form
    157,584/340,428 = 340,428/x
  3. Step 3: Cross multiply
    157,584x = 340,428 × 340,428
  4. Step 4: Simplify right side
    157,584x = 115,891,223,184
  5. Step 5: Solve for x
    x = 115,891,223,184/157,584
  6. Step 6: Final answer
    x = 735,425.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.