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Finding the Third Proportional to 125,888 and 272,428

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Solution

The third proportional to 125,888 and 272,428 is: 589,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,888 : 272,428 = 272,428 : x
  2. Step 2: Convert to fraction form
    125,888/272,428 = 272,428/x
  3. Step 3: Cross multiply
    125,888x = 272,428 × 272,428
  4. Step 4: Simplify right side
    125,888x = 74,217,015,184
  5. Step 5: Solve for x
    x = 74,217,015,184/125,888
  6. Step 6: Final answer
    x = 589,547.97

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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.