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Finding the Third Proportional to 2,728,428 and 4,547,106

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Solution

The third proportional to 2,728,428 and 4,547,106 is: 7,578,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,428 : 4,547,106 = 4,547,106 : x
  2. Step 2: Convert to fraction form
    2,728,428/4,547,106 = 4,547,106/x
  3. Step 3: Cross multiply
    2,728,428x = 4,547,106 × 4,547,106
  4. Step 4: Simplify right side
    2,728,428x = 20,676,172,975,236
  5. Step 5: Solve for x
    x = 20,676,172,975,236/2,728,428
  6. Step 6: Final answer
    x = 7,578,053.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.