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Finding the Third Proportional to 147,778 and 216,428

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Solution

The third proportional to 147,778 and 216,428 is: 316,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,778 : 216,428 = 216,428 : x
  2. Step 2: Convert to fraction form
    147,778/216,428 = 216,428/x
  3. Step 3: Cross multiply
    147,778x = 216,428 × 216,428
  4. Step 4: Simplify right side
    147,778x = 46,841,079,184
  5. Step 5: Solve for x
    x = 46,841,079,184/147,778
  6. Step 6: Final answer
    x = 316,969.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.