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Finding the Third Proportional to 602,220,737 and 920,644,243

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Solution

The third proportional to 602,220,737 and 920,644,243 is: 1,407,433,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,220,737 : 920,644,243 = 920,644,243 : x
  2. Step 2: Convert to fraction form
    602,220,737/920,644,243 = 920,644,243/x
  3. Step 3: Cross multiply
    602,220,737x = 920,644,243 × 920,644,243
  4. Step 4: Simplify right side
    602,220,737x = 847,585,822,169,043,072
  5. Step 5: Solve for x
    x = 847,585,822,169,043,072/602,220,737
  6. Step 6: Final answer
    x = 1,407,433,803.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.