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Finding the Third Proportional to 270,547 and 420,557

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Solution

The third proportional to 270,547 and 420,557 is: 653,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,547 : 420,557 = 420,557 : x
  2. Step 2: Convert to fraction form
    270,547/420,557 = 420,557/x
  3. Step 3: Cross multiply
    270,547x = 420,557 × 420,557
  4. Step 4: Simplify right side
    270,547x = 176,868,190,249
  5. Step 5: Solve for x
    x = 176,868,190,249/270,547
  6. Step 6: Final answer
    x = 653,742.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.