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Finding the Third Proportional to 265,368 and 390,222

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Solution

The third proportional to 265,368 and 390,222 is: 573,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,368 : 390,222 = 390,222 : x
  2. Step 2: Convert to fraction form
    265,368/390,222 = 390,222/x
  3. Step 3: Cross multiply
    265,368x = 390,222 × 390,222
  4. Step 4: Simplify right side
    265,368x = 152,273,209,284
  5. Step 5: Solve for x
    x = 152,273,209,284/265,368
  6. Step 6: Final answer
    x = 573,819.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.