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Finding the Third Proportional to 346,428 and 744,428

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Solution

The third proportional to 346,428 and 744,428 is: 1,599,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,428 : 744,428 = 744,428 : x
  2. Step 2: Convert to fraction form
    346,428/744,428 = 744,428/x
  3. Step 3: Cross multiply
    346,428x = 744,428 × 744,428
  4. Step 4: Simplify right side
    346,428x = 554,173,047,184
  5. Step 5: Solve for x
    x = 554,173,047,184/346,428
  6. Step 6: Final answer
    x = 1,599,677.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.