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Finding the Third Proportional to 2,320,748 and 3,547,826

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Solution

The third proportional to 2,320,748 and 3,547,826 is: 5,423,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320,748 : 3,547,826 = 3,547,826 : x
  2. Step 2: Convert to fraction form
    2,320,748/3,547,826 = 3,547,826/x
  3. Step 3: Cross multiply
    2,320,748x = 3,547,826 × 3,547,826
  4. Step 4: Simplify right side
    2,320,748x = 12,587,069,326,276
  5. Step 5: Solve for x
    x = 12,587,069,326,276/2,320,748
  6. Step 6: Final answer
    x = 5,423,712.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.