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Finding the Third Proportional to 217,312 and 402,547

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Solution

The third proportional to 217,312 and 402,547 is: 745,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,312 : 402,547 = 402,547 : x
  2. Step 2: Convert to fraction form
    217,312/402,547 = 402,547/x
  3. Step 3: Cross multiply
    217,312x = 402,547 × 402,547
  4. Step 4: Simplify right side
    217,312x = 162,044,087,209
  5. Step 5: Solve for x
    x = 162,044,087,209/217,312
  6. Step 6: Final answer
    x = 745,674.82

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.