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Finding the Third Proportional to 602,911 and 830,547

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Solution

The third proportional to 602,911 and 830,547 is: 1,144,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,911 : 830,547 = 830,547 : x
  2. Step 2: Convert to fraction form
    602,911/830,547 = 830,547/x
  3. Step 3: Cross multiply
    602,911x = 830,547 × 830,547
  4. Step 4: Simplify right side
    602,911x = 689,808,319,209
  5. Step 5: Solve for x
    x = 689,808,319,209/602,911
  6. Step 6: Final answer
    x = 1,144,129.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.