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Finding the Third Proportional to 560,547 and 870,357

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Solution

The third proportional to 560,547 and 870,357 is: 1,351,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,547 : 870,357 = 870,357 : x
  2. Step 2: Convert to fraction form
    560,547/870,357 = 870,357/x
  3. Step 3: Cross multiply
    560,547x = 870,357 × 870,357
  4. Step 4: Simplify right side
    560,547x = 757,521,307,449
  5. Step 5: Solve for x
    x = 757,521,307,449/560,547
  6. Step 6: Final answer
    x = 1,351,396.60

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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.