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Finding the Third Proportional to 213,528 and 314,148

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Solution

The third proportional to 213,528 and 314,148 is: 462,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,528 : 314,148 = 314,148 : x
  2. Step 2: Convert to fraction form
    213,528/314,148 = 314,148/x
  3. Step 3: Cross multiply
    213,528x = 314,148 × 314,148
  4. Step 4: Simplify right side
    213,528x = 98,688,965,904
  5. Step 5: Solve for x
    x = 98,688,965,904/213,528
  6. Step 6: Final answer
    x = 462,182.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.