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Finding the Third Proportional to 170,428 and 357,988

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Solution

The third proportional to 170,428 and 357,988 is: 751,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,428 : 357,988 = 357,988 : x
  2. Step 2: Convert to fraction form
    170,428/357,988 = 357,988/x
  3. Step 3: Cross multiply
    170,428x = 357,988 × 357,988
  4. Step 4: Simplify right side
    170,428x = 128,155,408,144
  5. Step 5: Solve for x
    x = 128,155,408,144/170,428
  6. Step 6: Final answer
    x = 751,962.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.